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Finding the Fourth Proportional to 98,308.04, 147,211.84 and 64,978.16

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Solution

The fourth proportional to 98,308.04, 147,211.84 and 64,978.16 is: 97,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,308.04 : 147,211.84 = 64,978.16 : x
  2. Step 2: Convert to fraction form
    98,308.04/147,211.84 = 64,978.16/x
  3. Step 3: Cross multiply
    98,308.04x = 147,211.84 × 64,978.16
  4. Step 4: Simplify right side
    98,308.04x = 9,565,554,493.41
  5. Step 5: Solve for x
    x = 9,565,554,493.41/98,308.04
  6. Step 6: Final answer
    x = 97,301.85

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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.