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Finding the Fourth Proportional to 209,580.90, 314,345.35 and 59,834.31

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Solution

The fourth proportional to 209,580.90, 314,345.35 and 59,834.31 is: 89,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,580.90 : 314,345.35 = 59,834.31 : x
  2. Step 2: Convert to fraction form
    209,580.90/314,345.35 = 59,834.31/x
  3. Step 3: Cross multiply
    209,580.90x = 314,345.35 × 59,834.31
  4. Step 4: Simplify right side
    209,580.90x = 18,808,637,118.96
  5. Step 5: Solve for x
    x = 18,808,637,118.96/209,580.90
  6. Step 6: Final answer
    x = 89,744.04

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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.