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Finding the Fourth Proportional to 262,880.92, 362,896.74 and 153,970.12

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Solution

The fourth proportional to 262,880.92, 362,896.74 and 153,970.12 is: 212,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,880.92 : 362,896.74 = 153,970.12 : x
  2. Step 2: Convert to fraction form
    262,880.92/362,896.74 = 153,970.12/x
  3. Step 3: Cross multiply
    262,880.92x = 362,896.74 × 153,970.12
  4. Step 4: Simplify right side
    262,880.92x = 55,875,254,605.41
  5. Step 5: Solve for x
    x = 55,875,254,605.41/262,880.92
  6. Step 6: Final answer
    x = 212,549.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.