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Finding the Fourth Proportional to 243,152.08, 364,746.58 and 65,656.58

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Solution

The fourth proportional to 243,152.08, 364,746.58 and 65,656.58 is: 98,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,152.08 : 364,746.58 = 65,656.58 : x
  2. Step 2: Convert to fraction form
    243,152.08/364,746.58 = 65,656.58/x
  3. Step 3: Cross multiply
    243,152.08x = 364,746.58 × 65,656.58
  4. Step 4: Simplify right side
    243,152.08x = 23,948,011,021.62
  5. Step 5: Solve for x
    x = 23,948,011,021.62/243,152.08
  6. Step 6: Final answer
    x = 98,489.85

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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.