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Finding the Fourth Proportional to 172,886.46, 238,449.16 and 153,525.74

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Solution

The fourth proportional to 172,886.46, 238,449.16 and 153,525.74 is: 211,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,886.46 : 238,449.16 = 153,525.74 : x
  2. Step 2: Convert to fraction form
    172,886.46/238,449.16 = 153,525.74/x
  3. Step 3: Cross multiply
    172,886.46x = 238,449.16 × 153,525.74
  4. Step 4: Simplify right side
    172,886.46x = 36,608,083,741.38
  5. Step 5: Solve for x
    x = 36,608,083,741.38/172,886.46
  6. Step 6: Final answer
    x = 211,746.39

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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.