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Finding the Fourth Proportional to 142,258.70, 196,314.71 and 77,726.55

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Solution

The fourth proportional to 142,258.70, 196,314.71 and 77,726.55 is: 107,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,258.70 : 196,314.71 = 77,726.55 : x
  2. Step 2: Convert to fraction form
    142,258.70/196,314.71 = 77,726.55/x
  3. Step 3: Cross multiply
    142,258.70x = 196,314.71 × 77,726.55
  4. Step 4: Simplify right side
    142,258.70x = 15,258,865,470.10
  5. Step 5: Solve for x
    x = 15,258,865,470.10/142,258.70
  6. Step 6: Final answer
    x = 107,261.39

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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.