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Finding the Fourth Proportional to 155,142, 214,095.96 and 84,486

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Solution

The fourth proportional to 155,142, 214,095.96 and 84,486 is: 116,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142 : 214,095.96 = 84,486 : x
  2. Step 2: Convert to fraction form
    155,142/214,095.96 = 84,486/x
  3. Step 3: Cross multiply
    155,142x = 214,095.96 × 84,486
  4. Step 4: Simplify right side
    155,142x = 18,088,111,276.56
  5. Step 5: Solve for x
    x = 18,088,111,276.56/155,142
  6. Step 6: Final answer
    x = 116,590.68

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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.