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Finding the Fourth Proportional to 106,459.90, 159,689.85 and 97,858.30

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Solution

The fourth proportional to 106,459.90, 159,689.85 and 97,858.30 is: 146,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,459.90 : 159,689.85 = 97,858.30 : x
  2. Step 2: Convert to fraction form
    106,459.90/159,689.85 = 97,858.30/x
  3. Step 3: Cross multiply
    106,459.90x = 159,689.85 × 97,858.30
  4. Step 4: Simplify right side
    106,459.90x = 15,626,977,248.26
  5. Step 5: Solve for x
    x = 15,626,977,248.26/106,459.90
  6. Step 6: Final answer
    x = 146,787.45

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1.5x scale

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.