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Finding the Fourth Proportional to 142,862.40, 197,164.80 and 86,270.40

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Solution

The fourth proportional to 142,862.40, 197,164.80 and 86,270.40 is: 119,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,862.40 : 197,164.80 = 86,270.40 : x
  2. Step 2: Convert to fraction form
    142,862.40/197,164.80 = 86,270.40/x
  3. Step 3: Cross multiply
    142,862.40x = 197,164.80 × 86,270.40
  4. Step 4: Simplify right side
    142,862.40x = 17,009,486,161.92
  5. Step 5: Solve for x
    x = 17,009,486,161.92/142,862.40
  6. Step 6: Final answer
    x = 119,062.02

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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.