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Finding the Fourth Proportional to 153,205.40, 229,829.70 and 48,013.40

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Solution

The fourth proportional to 153,205.40, 229,829.70 and 48,013.40 is: 72,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,205.40 : 229,829.70 = 48,013.40 : x
  2. Step 2: Convert to fraction form
    153,205.40/229,829.70 = 48,013.40/x
  3. Step 3: Cross multiply
    153,205.40x = 229,829.70 × 48,013.40
  4. Step 4: Simplify right side
    153,205.40x = 11,034,905,317.98
  5. Step 5: Solve for x
    x = 11,034,905,317.98/153,205.40
  6. Step 6: Final answer
    x = 72,026.87

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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.