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Finding the Fourth Proportional to 153,230.16, 229,812 and 48,035.28

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Solution

The fourth proportional to 153,230.16, 229,812 and 48,035.28 is: 72,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,230.16 : 229,812 = 48,035.28 : x
  2. Step 2: Convert to fraction form
    153,230.16/229,812 = 48,035.28/x
  3. Step 3: Cross multiply
    153,230.16x = 229,812 × 48,035.28
  4. Step 4: Simplify right side
    153,230.16x = 11,039,083,767.36
  5. Step 5: Solve for x
    x = 11,039,083,767.36/153,230.16
  6. Step 6: Final answer
    x = 72,042.50

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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.