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Finding the Fourth Proportional to 225,430, 338,167.58 and 83,312.62

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Solution

The fourth proportional to 225,430, 338,167.58 and 83,312.62 is: 124,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,430 : 338,167.58 = 83,312.62 : x
  2. Step 2: Convert to fraction form
    225,430/338,167.58 = 83,312.62/x
  3. Step 3: Cross multiply
    225,430x = 338,167.58 × 83,312.62
  4. Step 4: Simplify right side
    225,430x = 28,173,627,088.86
  5. Step 5: Solve for x
    x = 28,173,627,088.86/225,430
  6. Step 6: Final answer
    x = 124,977.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.