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Finding the Fourth Proportional to 153,576.75, 230,365.13 and 42,768.75

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Solution

The fourth proportional to 153,576.75, 230,365.13 and 42,768.75 is: 64,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,576.75 : 230,365.13 = 42,768.75 : x
  2. Step 2: Convert to fraction form
    153,576.75/230,365.13 = 42,768.75/x
  3. Step 3: Cross multiply
    153,576.75x = 230,365.13 × 42,768.75
  4. Step 4: Simplify right side
    153,576.75x = 9,852,428,439.84
  5. Step 5: Solve for x
    x = 9,852,428,439.84/153,576.75
  6. Step 6: Final answer
    x = 64,153.13

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1.5x scale

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.