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Finding the Fourth Proportional to 152,995.72, 229,583.40 and 64,242.40

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Solution

The fourth proportional to 152,995.72, 229,583.40 and 64,242.40 is: 96,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,995.72 : 229,583.40 = 64,242.40 : x
  2. Step 2: Convert to fraction form
    152,995.72/229,583.40 = 64,242.40/x
  3. Step 3: Cross multiply
    152,995.72x = 229,583.40 × 64,242.40
  4. Step 4: Simplify right side
    152,995.72x = 14,748,988,616.16
  5. Step 5: Solve for x
    x = 14,748,988,616.16/152,995.72
  6. Step 6: Final answer
    x = 96,401.32

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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.