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Finding the Fourth Proportional to 109,459.86, 163,869.86 and 98,954.04

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Solution

The fourth proportional to 109,459.86, 163,869.86 and 98,954.04 is: 148,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,459.86 : 163,869.86 = 98,954.04 : x
  2. Step 2: Convert to fraction form
    109,459.86/163,869.86 = 98,954.04/x
  3. Step 3: Cross multiply
    109,459.86x = 163,869.86 × 98,954.04
  4. Step 4: Simplify right side
    109,459.86x = 16,215,584,681.23
  5. Step 5: Solve for x
    x = 16,215,584,681.23/109,459.86
  6. Step 6: Final answer
    x = 148,141.84

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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.