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Finding the Fourth Proportional to 153,832.96, 230,720.21 and 65,148.72

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Solution

The fourth proportional to 153,832.96, 230,720.21 and 65,148.72 is: 97,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,832.96 : 230,720.21 = 65,148.72 : x
  2. Step 2: Convert to fraction form
    153,832.96/230,720.21 = 65,148.72/x
  3. Step 3: Cross multiply
    153,832.96x = 230,720.21 × 65,148.72
  4. Step 4: Simplify right side
    153,832.96x = 15,031,126,359.63
  5. Step 5: Solve for x
    x = 15,031,126,359.63/153,832.96
  6. Step 6: Final answer
    x = 97,710.70

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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.