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Finding the Fourth Proportional to 108,534.90, 162,802.35 and 97,821.30

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Solution

The fourth proportional to 108,534.90, 162,802.35 and 97,821.30 is: 146,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,534.90 : 162,802.35 = 97,821.30 : x
  2. Step 2: Convert to fraction form
    108,534.90/162,802.35 = 97,821.30/x
  3. Step 3: Cross multiply
    108,534.90x = 162,802.35 × 97,821.30
  4. Step 4: Simplify right side
    108,534.90x = 15,925,537,520.06
  5. Step 5: Solve for x
    x = 15,925,537,520.06/108,534.90
  6. Step 6: Final answer
    x = 146,731.95

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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.