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Finding the Fourth Proportional to 242,649.60, 334,678.18 and 160,829.88

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Solution

The fourth proportional to 242,649.60, 334,678.18 and 160,829.88 is: 221,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,649.60 : 334,678.18 = 160,829.88 : x
  2. Step 2: Convert to fraction form
    242,649.60/334,678.18 = 160,829.88/x
  3. Step 3: Cross multiply
    242,649.60x = 334,678.18 × 160,829.88
  4. Step 4: Simplify right side
    242,649.60x = 53,826,251,528.02
  5. Step 5: Solve for x
    x = 53,826,251,528.02/242,649.60
  6. Step 6: Final answer
    x = 221,827.08

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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.