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Finding the Fourth Proportional to 128,729.34, 177,643.50 and 71,368.38

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Solution

The fourth proportional to 128,729.34, 177,643.50 and 71,368.38 is: 98,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,729.34 : 177,643.50 = 71,368.38 : x
  2. Step 2: Convert to fraction form
    128,729.34/177,643.50 = 71,368.38/x
  3. Step 3: Cross multiply
    128,729.34x = 177,643.50 × 71,368.38
  4. Step 4: Simplify right side
    128,729.34x = 12,678,128,812.53
  5. Step 5: Solve for x
    x = 12,678,128,812.53/128,729.34
  6. Step 6: Final answer
    x = 98,486.71

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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.