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Finding the Fourth Proportional to 208,807.41, 288,154.41 and 113,314.10

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Solution

The fourth proportional to 208,807.41, 288,154.41 and 113,314.10 is: 156,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.41 : 288,154.41 = 113,314.10 : x
  2. Step 2: Convert to fraction form
    208,807.41/288,154.41 = 113,314.10/x
  3. Step 3: Cross multiply
    208,807.41x = 288,154.41 × 113,314.10
  4. Step 4: Simplify right side
    208,807.41x = 32,651,957,630.18
  5. Step 5: Solve for x
    x = 32,651,957,630.18/208,807.41
  6. Step 6: Final answer
    x = 156,373.56

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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.