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Finding the Fourth Proportional to 163,066.65, 224,978.16 and 98,511.72

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Solution

The fourth proportional to 163,066.65, 224,978.16 and 98,511.72 is: 135,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,066.65 : 224,978.16 = 98,511.72 : x
  2. Step 2: Convert to fraction form
    163,066.65/224,978.16 = 98,511.72/x
  3. Step 3: Cross multiply
    163,066.65x = 224,978.16 × 98,511.72
  4. Step 4: Simplify right side
    163,066.65x = 22,162,985,504.04
  5. Step 5: Solve for x
    x = 22,162,985,504.04/163,066.65
  6. Step 6: Final answer
    x = 135,913.66

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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.