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Finding the Fourth Proportional to 157,220.30, 235,830.45 and 109,981.10

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Solution

The fourth proportional to 157,220.30, 235,830.45 and 109,981.10 is: 164,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,220.30 : 235,830.45 = 109,981.10 : x
  2. Step 2: Convert to fraction form
    157,220.30/235,830.45 = 109,981.10/x
  3. Step 3: Cross multiply
    157,220.30x = 235,830.45 × 109,981.10
  4. Step 4: Simplify right side
    157,220.30x = 25,936,892,304.50
  5. Step 5: Solve for x
    x = 25,936,892,304.50/157,220.30
  6. Step 6: Final answer
    x = 164,971.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.