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Finding the Fourth Proportional to 128,802.14, 177,748.79 and 77,807.79

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Solution

The fourth proportional to 128,802.14, 177,748.79 and 77,807.79 is: 107,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,802.14 : 177,748.79 = 77,807.79 : x
  2. Step 2: Convert to fraction form
    128,802.14/177,748.79 = 77,807.79/x
  3. Step 3: Cross multiply
    128,802.14x = 177,748.79 × 77,807.79
  4. Step 4: Simplify right side
    128,802.14x = 13,830,240,136.04
  5. Step 5: Solve for x
    x = 13,830,240,136.04/128,802.14
  6. Step 6: Final answer
    x = 107,375.86

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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.