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Finding the Fourth Proportional to 238,101.96, 328,595.50 and 157,389.52

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Solution

The fourth proportional to 238,101.96, 328,595.50 and 157,389.52 is: 217,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,101.96 : 328,595.50 = 157,389.52 : x
  2. Step 2: Convert to fraction form
    238,101.96/328,595.50 = 157,389.52/x
  3. Step 3: Cross multiply
    238,101.96x = 328,595.50 × 157,389.52
  4. Step 4: Simplify right side
    238,101.96x = 51,717,488,019.16
  5. Step 5: Solve for x
    x = 51,717,488,019.16/238,101.96
  6. Step 6: Final answer
    x = 217,207.32

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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.