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Finding the Fourth Proportional to 201,205.23, 301,854.51 and 59,044.75

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Solution

The fourth proportional to 201,205.23, 301,854.51 and 59,044.75 is: 88,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.23 : 301,854.51 = 59,044.75 : x
  2. Step 2: Convert to fraction form
    201,205.23/301,854.51 = 59,044.75/x
  3. Step 3: Cross multiply
    201,205.23x = 301,854.51 × 59,044.75
  4. Step 4: Simplify right side
    201,205.23x = 17,822,924,079.32
  5. Step 5: Solve for x
    x = 17,822,924,079.32/201,205.23
  6. Step 6: Final answer
    x = 88,580.82

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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.