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Finding the Fourth Proportional to 128,022.02, 176,702.01 and 77,763.14

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Solution

The fourth proportional to 128,022.02, 176,702.01 and 77,763.14 is: 107,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,022.02 : 176,702.01 = 77,763.14 : x
  2. Step 2: Convert to fraction form
    128,022.02/176,702.01 = 77,763.14/x
  3. Step 3: Cross multiply
    128,022.02x = 176,702.01 × 77,763.14
  4. Step 4: Simplify right side
    128,022.02x = 13,740,903,141.91
  5. Step 5: Solve for x
    x = 13,740,903,141.91/128,022.02
  6. Step 6: Final answer
    x = 107,332.34

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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.