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Finding the Fourth Proportional to 153,437, 230,188.28 and 48,264.16

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Solution

The fourth proportional to 153,437, 230,188.28 and 48,264.16 is: 72,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,437 : 230,188.28 = 48,264.16 : x
  2. Step 2: Convert to fraction form
    153,437/230,188.28 = 48,264.16/x
  3. Step 3: Cross multiply
    153,437x = 230,188.28 × 48,264.16
  4. Step 4: Simplify right side
    153,437x = 11,109,843,976.04
  5. Step 5: Solve for x
    x = 11,109,843,976.04/153,437
  6. Step 6: Final answer
    x = 72,406.55

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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.