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Finding the Fourth Proportional to 133,176.40, 183,776.40 and 72,746.17

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Solution

The fourth proportional to 133,176.40, 183,776.40 and 72,746.17 is: 100,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,176.40 : 183,776.40 = 72,746.17 : x
  2. Step 2: Convert to fraction form
    133,176.40/183,776.40 = 72,746.17/x
  3. Step 3: Cross multiply
    133,176.40x = 183,776.40 × 72,746.17
  4. Step 4: Simplify right side
    133,176.40x = 13,369,028,776.95
  5. Step 5: Solve for x
    x = 13,369,028,776.95/133,176.40
  6. Step 6: Final answer
    x = 100,385.87

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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.