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Finding the Fourth Proportional to 268,005.40, 402,008.10 and 142,034.20

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Solution

The fourth proportional to 268,005.40, 402,008.10 and 142,034.20 is: 213,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,005.40 : 402,008.10 = 142,034.20 : x
  2. Step 2: Convert to fraction form
    268,005.40/402,008.10 = 142,034.20/x
  3. Step 3: Cross multiply
    268,005.40x = 402,008.10 × 142,034.20
  4. Step 4: Simplify right side
    268,005.40x = 57,098,898,877.02
  5. Step 5: Solve for x
    x = 57,098,898,877.02/268,005.40
  6. Step 6: Final answer
    x = 213,051.30

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1.5x scale

Why These Related Problems?

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