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Finding the Fourth Proportional to 153,976, 212,487.52 and 83,320

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Solution

The fourth proportional to 153,976, 212,487.52 and 83,320 is: 114,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,976 : 212,487.52 = 83,320 : x
  2. Step 2: Convert to fraction form
    153,976/212,487.52 = 83,320/x
  3. Step 3: Cross multiply
    153,976x = 212,487.52 × 83,320
  4. Step 4: Simplify right side
    153,976x = 17,704,460,166.40
  5. Step 5: Solve for x
    x = 17,704,460,166.40/153,976
  6. Step 6: Final answer
    x = 114,981.95

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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.