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Finding the Fourth Proportional to 159,094.70, 238,642.05 and 133,045.10

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Solution

The fourth proportional to 159,094.70, 238,642.05 and 133,045.10 is: 199,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,094.70 : 238,642.05 = 133,045.10 : x
  2. Step 2: Convert to fraction form
    159,094.70/238,642.05 = 133,045.10/x
  3. Step 3: Cross multiply
    159,094.70x = 238,642.05 × 133,045.10
  4. Step 4: Simplify right side
    159,094.70x = 31,750,155,406.46
  5. Step 5: Solve for x
    x = 31,750,155,406.46/159,094.70
  6. Step 6: Final answer
    x = 199,567.65

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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.