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Finding the Fourth Proportional to 153,895.76, 230,850.48 and 48,722.48

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Solution

The fourth proportional to 153,895.76, 230,850.48 and 48,722.48 is: 73,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,895.76 : 230,850.48 = 48,722.48 : x
  2. Step 2: Convert to fraction form
    153,895.76/230,850.48 = 48,722.48/x
  3. Step 3: Cross multiply
    153,895.76x = 230,850.48 × 48,722.48
  4. Step 4: Simplify right side
    153,895.76x = 11,247,607,894.79
  5. Step 5: Solve for x
    x = 11,247,607,894.79/153,895.76
  6. Step 6: Final answer
    x = 73,085.89

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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.