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Finding the Fourth Proportional to 145,603.31, 200,951.54 and 83,538.14

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Solution

The fourth proportional to 145,603.31, 200,951.54 and 83,538.14 is: 115,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,603.31 : 200,951.54 = 83,538.14 : x
  2. Step 2: Convert to fraction form
    145,603.31/200,951.54 = 83,538.14/x
  3. Step 3: Cross multiply
    145,603.31x = 200,951.54 × 83,538.14
  4. Step 4: Simplify right side
    145,603.31x = 16,787,116,459.29
  5. Step 5: Solve for x
    x = 16,787,116,459.29/145,603.31
  6. Step 6: Final answer
    x = 115,293.51

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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.