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Finding the Fourth Proportional to 182,641.19, 252,045.77 and 102,070.05

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Solution

The fourth proportional to 182,641.19, 252,045.77 and 102,070.05 is: 140,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,641.19 : 252,045.77 = 102,070.05 : x
  2. Step 2: Convert to fraction form
    182,641.19/252,045.77 = 102,070.05/x
  3. Step 3: Cross multiply
    182,641.19x = 252,045.77 × 102,070.05
  4. Step 4: Simplify right side
    182,641.19x = 25,726,323,835.84
  5. Step 5: Solve for x
    x = 25,726,323,835.84/182,641.19
  6. Step 6: Final answer
    x = 140,857.19

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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.