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Finding the Fourth Proportional to 153,996, 212,515.12 and 83,340

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Solution

The fourth proportional to 153,996, 212,515.12 and 83,340 is: 115,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,996 : 212,515.12 = 83,340 : x
  2. Step 2: Convert to fraction form
    153,996/212,515.12 = 83,340/x
  3. Step 3: Cross multiply
    153,996x = 212,515.12 × 83,340
  4. Step 4: Simplify right side
    153,996x = 17,711,010,100.80
  5. Step 5: Solve for x
    x = 17,711,010,100.80/153,996
  6. Step 6: Final answer
    x = 115,009.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.