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Finding the Fourth Proportional to 153,872.16, 230,834.16 and 70,764

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Solution

The fourth proportional to 153,872.16, 230,834.16 and 70,764 is: 106,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.16 : 230,834.16 = 70,764 : x
  2. Step 2: Convert to fraction form
    153,872.16/230,834.16 = 70,764/x
  3. Step 3: Cross multiply
    153,872.16x = 230,834.16 × 70,764
  4. Step 4: Simplify right side
    153,872.16x = 16,334,748,498.24
  5. Step 5: Solve for x
    x = 16,334,748,498.24/153,872.16
  6. Step 6: Final answer
    x = 106,157.92

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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.