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Finding the Fourth Proportional to 209,572.95, 314,306.91 and 89,570.58

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Solution

The fourth proportional to 209,572.95, 314,306.91 and 89,570.58 is: 134,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,572.95 : 314,306.91 = 89,570.58 : x
  2. Step 2: Convert to fraction form
    209,572.95/314,306.91 = 89,570.58/x
  3. Step 3: Cross multiply
    209,572.95x = 314,306.91 × 89,570.58
  4. Step 4: Simplify right side
    209,572.95x = 28,152,652,226.71
  5. Step 5: Solve for x
    x = 28,152,652,226.71/209,572.95
  6. Step 6: Final answer
    x = 134,333.43

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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.