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Finding the Fourth Proportional to 142,257.60, 196,322.40 and 78,602.40

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Solution

The fourth proportional to 142,257.60, 196,322.40 and 78,602.40 is: 108,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,257.60 : 196,322.40 = 78,602.40 : x
  2. Step 2: Convert to fraction form
    142,257.60/196,322.40 = 78,602.40/x
  3. Step 3: Cross multiply
    142,257.60x = 196,322.40 × 78,602.40
  4. Step 4: Simplify right side
    142,257.60x = 15,431,411,813.76
  5. Step 5: Solve for x
    x = 15,431,411,813.76/142,257.60
  6. Step 6: Final answer
    x = 108,475.13

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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.