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Finding the Fourth Proportional to 260,282.16, 359,149.14 and 152,842.14

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Solution

The fourth proportional to 260,282.16, 359,149.14 and 152,842.14 is: 210,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,282.16 : 359,149.14 = 152,842.14 : x
  2. Step 2: Convert to fraction form
    260,282.16/359,149.14 = 152,842.14/x
  3. Step 3: Cross multiply
    260,282.16x = 359,149.14 × 152,842.14
  4. Step 4: Simplify right side
    260,282.16x = 54,893,123,136.76
  5. Step 5: Solve for x
    x = 54,893,123,136.76/260,282.16
  6. Step 6: Final answer
    x = 210,898.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.