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Finding the Fourth Proportional to 127,400.42, 175,784 and 77,098.34

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Solution

The fourth proportional to 127,400.42, 175,784 and 77,098.34 is: 106,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,400.42 : 175,784 = 77,098.34 : x
  2. Step 2: Convert to fraction form
    127,400.42/175,784 = 77,098.34/x
  3. Step 3: Cross multiply
    127,400.42x = 175,784 × 77,098.34
  4. Step 4: Simplify right side
    127,400.42x = 13,552,654,598.56
  5. Step 5: Solve for x
    x = 13,552,654,598.56/127,400.42
  6. Step 6: Final answer
    x = 106,378.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.