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Finding the Fourth Proportional to 142,083.59, 196,061.40 and 78,417.29

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Solution

The fourth proportional to 142,083.59, 196,061.40 and 78,417.29 is: 108,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083.59 : 196,061.40 = 78,417.29 : x
  2. Step 2: Convert to fraction form
    142,083.59/196,061.40 = 78,417.29/x
  3. Step 3: Cross multiply
    142,083.59x = 196,061.40 × 78,417.29
  4. Step 4: Simplify right side
    142,083.59x = 15,374,602,779.37
  5. Step 5: Solve for x
    x = 15,374,602,779.37/142,083.59
  6. Step 6: Final answer
    x = 108,208.15

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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.