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Finding the Fourth Proportional to 201,710.70, 301,909.95 and 157,095.90

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Solution

The fourth proportional to 201,710.70, 301,909.95 and 157,095.90 is: 235,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.70 : 301,909.95 = 157,095.90 : x
  2. Step 2: Convert to fraction form
    201,710.70/301,909.95 = 157,095.90/x
  3. Step 3: Cross multiply
    201,710.70x = 301,909.95 × 157,095.90
  4. Step 4: Simplify right side
    201,710.70x = 47,428,815,314.21
  5. Step 5: Solve for x
    x = 47,428,815,314.21/201,710.70
  6. Step 6: Final answer
    x = 235,132.87

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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.