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Finding the Fourth Proportional to 147,047.70, 202,962.85 and 83,423.70

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Solution

The fourth proportional to 147,047.70, 202,962.85 and 83,423.70 is: 115,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,047.70 : 202,962.85 = 83,423.70 : x
  2. Step 2: Convert to fraction form
    147,047.70/202,962.85 = 83,423.70/x
  3. Step 3: Cross multiply
    147,047.70x = 202,962.85 × 83,423.70
  4. Step 4: Simplify right side
    147,047.70x = 16,931,911,909.55
  5. Step 5: Solve for x
    x = 16,931,911,909.55/147,047.70
  6. Step 6: Final answer
    x = 115,145.71

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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.