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Finding the Fourth Proportional to 78,154.84, 116,897.32 and 72,482.32

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Solution

The fourth proportional to 78,154.84, 116,897.32 and 72,482.32 is: 108,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.84 : 116,897.32 = 72,482.32 : x
  2. Step 2: Convert to fraction form
    78,154.84/116,897.32 = 72,482.32/x
  3. Step 3: Cross multiply
    78,154.84x = 116,897.32 × 72,482.32
  4. Step 4: Simplify right side
    78,154.84x = 8,472,988,955.38
  5. Step 5: Solve for x
    x = 8,472,988,955.38/78,154.84
  6. Step 6: Final answer
    x = 108,412.85

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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.