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Finding the Fourth Proportional to 223,148.16, 334,717.92 and 65,373.12

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Solution

The fourth proportional to 223,148.16, 334,717.92 and 65,373.12 is: 98,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,148.16 : 334,717.92 = 65,373.12 : x
  2. Step 2: Convert to fraction form
    223,148.16/334,717.92 = 65,373.12/x
  3. Step 3: Cross multiply
    223,148.16x = 334,717.92 × 65,373.12
  4. Step 4: Simplify right side
    223,148.16x = 21,881,554,750.31
  5. Step 5: Solve for x
    x = 21,881,554,750.31/223,148.16
  6. Step 6: Final answer
    x = 98,058.41

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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.