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Finding the Fourth Proportional to 209,570.90, 314,359.25 and 59,811.14

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Solution

The fourth proportional to 209,570.90, 314,359.25 and 59,811.14 is: 89,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,570.90 : 314,359.25 = 59,811.14 : x
  2. Step 2: Convert to fraction form
    209,570.90/314,359.25 = 59,811.14/x
  3. Step 3: Cross multiply
    209,570.90x = 314,359.25 × 59,811.14
  4. Step 4: Simplify right side
    209,570.90x = 18,802,185,598.89
  5. Step 5: Solve for x
    x = 18,802,185,598.89/209,570.90
  6. Step 6: Final answer
    x = 89,717.54

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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.