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Finding the Fourth Proportional to 242,790.47, 335,053.90 and 140,820.24

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Solution

The fourth proportional to 242,790.47, 335,053.90 and 140,820.24 is: 194,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,790.47 : 335,053.90 = 140,820.24 : x
  2. Step 2: Convert to fraction form
    242,790.47/335,053.90 = 140,820.24/x
  3. Step 3: Cross multiply
    242,790.47x = 335,053.90 × 140,820.24
  4. Step 4: Simplify right side
    242,790.47x = 47,182,370,610.94
  5. Step 5: Solve for x
    x = 47,182,370,610.94/242,790.47
  6. Step 6: Final answer
    x = 194,333.70

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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.