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Finding the Fourth Proportional to 172,080, 237,483.36 and 105,024.96

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Solution

The fourth proportional to 172,080, 237,483.36 and 105,024.96 is: 144,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,080 : 237,483.36 = 105,024.96 : x
  2. Step 2: Convert to fraction form
    172,080/237,483.36 = 105,024.96/x
  3. Step 3: Cross multiply
    172,080x = 237,483.36 × 105,024.96
  4. Step 4: Simplify right side
    172,080x = 24,941,680,384.67
  5. Step 5: Solve for x
    x = 24,941,680,384.67/172,080
  6. Step 6: Final answer
    x = 144,942.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.