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Finding the Fourth Proportional to 153,854.70, 230,846.85 and 83,784.30

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Solution

The fourth proportional to 153,854.70, 230,846.85 and 83,784.30 is: 125,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,854.70 : 230,846.85 = 83,784.30 : x
  2. Step 2: Convert to fraction form
    153,854.70/230,846.85 = 83,784.30/x
  3. Step 3: Cross multiply
    153,854.70x = 230,846.85 × 83,784.30
  4. Step 4: Simplify right side
    153,854.70x = 19,341,341,734.46
  5. Step 5: Solve for x
    x = 19,341,341,734.46/153,854.70
  6. Step 6: Final answer
    x = 125,711.74

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1.5x scale

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.