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Finding the Fourth Proportional to 116,792, 175,298.76 and 72,284.12

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Solution

The fourth proportional to 116,792, 175,298.76 and 72,284.12 is: 108,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,792 : 175,298.76 = 72,284.12 : x
  2. Step 2: Convert to fraction form
    116,792/175,298.76 = 72,284.12/x
  3. Step 3: Cross multiply
    116,792x = 175,298.76 × 72,284.12
  4. Step 4: Simplify right side
    116,792x = 12,671,316,603.69
  5. Step 5: Solve for x
    x = 12,671,316,603.69/116,792
  6. Step 6: Final answer
    x = 108,494.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.