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Finding the Fourth Proportional to 153,617.16, 230,425.74 and 48,444.33

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Solution

The fourth proportional to 153,617.16, 230,425.74 and 48,444.33 is: 72,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,617.16 : 230,425.74 = 48,444.33 : x
  2. Step 2: Convert to fraction form
    153,617.16/230,425.74 = 48,444.33/x
  3. Step 3: Cross multiply
    153,617.16x = 230,425.74 × 48,444.33
  4. Step 4: Simplify right side
    153,617.16x = 11,162,820,020.76
  5. Step 5: Solve for x
    x = 11,162,820,020.76/153,617.16
  6. Step 6: Final answer
    x = 72,666.49

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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.