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Finding the Fourth Proportional to 209,684.77, 314,280.78 and 97,127.17

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Solution

The fourth proportional to 209,684.77, 314,280.78 and 97,127.17 is: 145,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,684.77 : 314,280.78 = 97,127.17 : x
  2. Step 2: Convert to fraction form
    209,684.77/314,280.78 = 97,127.17/x
  3. Step 3: Cross multiply
    209,684.77x = 314,280.78 × 97,127.17
  4. Step 4: Simplify right side
    209,684.77x = 30,525,202,746.79
  5. Step 5: Solve for x
    x = 30,525,202,746.79/209,684.77
  6. Step 6: Final answer
    x = 145,576.63

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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.