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Finding the Fourth Proportional to 188,062.18, 282,095.10 and 47,820.82

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Solution

The fourth proportional to 188,062.18, 282,095.10 and 47,820.82 is: 71,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,062.18 : 282,095.10 = 47,820.82 : x
  2. Step 2: Convert to fraction form
    188,062.18/282,095.10 = 47,820.82/x
  3. Step 3: Cross multiply
    188,062.18x = 282,095.10 × 47,820.82
  4. Step 4: Simplify right side
    188,062.18x = 13,490,018,999.98
  5. Step 5: Solve for x
    x = 13,490,018,999.98/188,062.18
  6. Step 6: Final answer
    x = 71,731.70

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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.