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Finding the Fourth Proportional to 102,643.80, 153,965.70 and 97,832.40

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Solution

The fourth proportional to 102,643.80, 153,965.70 and 97,832.40 is: 146,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,643.80 : 153,965.70 = 97,832.40 : x
  2. Step 2: Convert to fraction form
    102,643.80/153,965.70 = 97,832.40/x
  3. Step 3: Cross multiply
    102,643.80x = 153,965.70 × 97,832.40
  4. Step 4: Simplify right side
    102,643.80x = 15,062,833,948.68
  5. Step 5: Solve for x
    x = 15,062,833,948.68/102,643.80
  6. Step 6: Final answer
    x = 146,748.60

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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.