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Finding the Fourth Proportional to 153,380.16, 230,099.28 and 59,880

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Solution

The fourth proportional to 153,380.16, 230,099.28 and 59,880 is: 89,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,380.16 : 230,099.28 = 59,880 : x
  2. Step 2: Convert to fraction form
    153,380.16/230,099.28 = 59,880/x
  3. Step 3: Cross multiply
    153,380.16x = 230,099.28 × 59,880
  4. Step 4: Simplify right side
    153,380.16x = 13,778,344,886.40
  5. Step 5: Solve for x
    x = 13,778,344,886.40/153,380.16
  6. Step 6: Final answer
    x = 89,831.34

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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.