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Finding the Fourth Proportional to 142,656.31, 214,020 and 42,818.35

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Solution

The fourth proportional to 142,656.31, 214,020 and 42,818.35 is: 64,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,656.31 : 214,020 = 42,818.35 : x
  2. Step 2: Convert to fraction form
    142,656.31/214,020 = 42,818.35/x
  3. Step 3: Cross multiply
    142,656.31x = 214,020 × 42,818.35
  4. Step 4: Simplify right side
    142,656.31x = 9,163,983,267
  5. Step 5: Solve for x
    x = 9,163,983,267/142,656.31
  6. Step 6: Final answer
    x = 64,238.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.