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Finding the Fourth Proportional to 153,812.56, 230,386.69 and 150,048.19

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Solution

The fourth proportional to 153,812.56, 230,386.69 and 150,048.19 is: 224,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,812.56 : 230,386.69 = 150,048.19 : x
  2. Step 2: Convert to fraction form
    153,812.56/230,386.69 = 150,048.19/x
  3. Step 3: Cross multiply
    153,812.56x = 230,386.69 × 150,048.19
  4. Step 4: Simplify right side
    153,812.56x = 34,569,104,883.50
  5. Step 5: Solve for x
    x = 34,569,104,883.50/153,812.56
  6. Step 6: Final answer
    x = 224,748.26

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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.