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Finding the Fourth Proportional to 209,462.76, 314,146.76 and 59,699.79

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Solution

The fourth proportional to 209,462.76, 314,146.76 and 59,699.79 is: 89,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,462.76 : 314,146.76 = 59,699.79 : x
  2. Step 2: Convert to fraction form
    209,462.76/314,146.76 = 59,699.79/x
  3. Step 3: Cross multiply
    209,462.76x = 314,146.76 × 59,699.79
  4. Step 4: Simplify right side
    209,462.76x = 18,754,495,302.68
  5. Step 5: Solve for x
    x = 18,754,495,302.68/209,462.76
  6. Step 6: Final answer
    x = 89,536.18

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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.