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Finding the Fourth Proportional to 129,035.64, 178,066.54 and 72,447

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Solution

The fourth proportional to 129,035.64, 178,066.54 and 72,447 is: 99,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,035.64 : 178,066.54 = 72,447 : x
  2. Step 2: Convert to fraction form
    129,035.64/178,066.54 = 72,447/x
  3. Step 3: Cross multiply
    129,035.64x = 178,066.54 × 72,447
  4. Step 4: Simplify right side
    129,035.64x = 12,900,386,623.38
  5. Step 5: Solve for x
    x = 12,900,386,623.38/129,035.64
  6. Step 6: Final answer
    x = 99,975.38

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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.