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Finding the Fourth Proportional to 242,148.61, 333,815.16 and 160,339.96

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Solution

The fourth proportional to 242,148.61, 333,815.16 and 160,339.96 is: 221,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,148.61 : 333,815.16 = 160,339.96 : x
  2. Step 2: Convert to fraction form
    242,148.61/333,815.16 = 160,339.96/x
  3. Step 3: Cross multiply
    242,148.61x = 333,815.16 × 160,339.96
  4. Step 4: Simplify right side
    242,148.61x = 53,523,909,401.79
  5. Step 5: Solve for x
    x = 53,523,909,401.79/242,148.61
  6. Step 6: Final answer
    x = 221,037.44

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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.