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Finding the Fourth Proportional to 110,352.98, 165,210.32 and 98,957.90

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Solution

The fourth proportional to 110,352.98, 165,210.32 and 98,957.90 is: 148,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,352.98 : 165,210.32 = 98,957.90 : x
  2. Step 2: Convert to fraction form
    110,352.98/165,210.32 = 98,957.90/x
  3. Step 3: Cross multiply
    110,352.98x = 165,210.32 × 98,957.90
  4. Step 4: Simplify right side
    110,352.98x = 16,348,866,325.53
  5. Step 5: Solve for x
    x = 16,348,866,325.53/110,352.98
  6. Step 6: Final answer
    x = 148,150.66

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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.