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Finding the Fourth Proportional to 128,462.40, 177,349.54 and 77,487.98

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Solution

The fourth proportional to 128,462.40, 177,349.54 and 77,487.98 is: 106,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,462.40 : 177,349.54 = 77,487.98 : x
  2. Step 2: Convert to fraction form
    128,462.40/177,349.54 = 77,487.98/x
  3. Step 3: Cross multiply
    128,462.40x = 177,349.54 × 77,487.98
  4. Step 4: Simplify right side
    128,462.40x = 13,742,457,608.53
  5. Step 5: Solve for x
    x = 13,742,457,608.53/128,462.40
  6. Step 6: Final answer
    x = 106,976.50

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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.