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Finding the Fourth Proportional to 201,206.22, 301,856.04 and 59,045.76

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Solution

The fourth proportional to 201,206.22, 301,856.04 and 59,045.76 is: 88,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206.22 : 301,856.04 = 59,045.76 : x
  2. Step 2: Convert to fraction form
    201,206.22/301,856.04 = 59,045.76/x
  3. Step 3: Cross multiply
    201,206.22x = 301,856.04 × 59,045.76
  4. Step 4: Simplify right side
    201,206.22x = 17,823,319,292.39
  5. Step 5: Solve for x
    x = 17,823,319,292.39/201,206.22
  6. Step 6: Final answer
    x = 88,582.35

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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.