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Finding the Fourth Proportional to 106,843.16, 147,430.62 and 59,090

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Solution

The fourth proportional to 106,843.16, 147,430.62 and 59,090 is: 81,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843.16 : 147,430.62 = 59,090 : x
  2. Step 2: Convert to fraction form
    106,843.16/147,430.62 = 59,090/x
  3. Step 3: Cross multiply
    106,843.16x = 147,430.62 × 59,090
  4. Step 4: Simplify right side
    106,843.16x = 8,711,675,335.80
  5. Step 5: Solve for x
    x = 8,711,675,335.80/106,843.16
  6. Step 6: Final answer
    x = 81,537.04

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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.