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Finding the Fourth Proportional to 262,372.16, 362,077.76 and 143,140.16

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Solution

The fourth proportional to 262,372.16, 362,077.76 and 143,140.16 is: 197,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,372.16 : 362,077.76 = 143,140.16 : x
  2. Step 2: Convert to fraction form
    262,372.16/362,077.76 = 143,140.16/x
  3. Step 3: Cross multiply
    262,372.16x = 362,077.76 × 143,140.16
  4. Step 4: Simplify right side
    262,372.16x = 51,827,868,498.84
  5. Step 5: Solve for x
    x = 51,827,868,498.84/262,372.16
  6. Step 6: Final answer
    x = 197,535.70

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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.