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Finding the Fourth Proportional to 224,887.92, 310,388.62 and 144,417.12

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Solution

The fourth proportional to 224,887.92, 310,388.62 and 144,417.12 is: 199,323.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,887.92 : 310,388.62 = 144,417.12 : x
  2. Step 2: Convert to fraction form
    224,887.92/310,388.62 = 144,417.12/x
  3. Step 3: Cross multiply
    224,887.92x = 310,388.62 × 144,417.12
  4. Step 4: Simplify right side
    224,887.92x = 44,825,430,581.17
  5. Step 5: Solve for x
    x = 44,825,430,581.17/224,887.92
  6. Step 6: Final answer
    x = 199,323.43

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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.