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Finding the Fourth Proportional to 205,277.90, 307,913.20 and 65,032.88

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Solution

The fourth proportional to 205,277.90, 307,913.20 and 65,032.88 is: 97,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,277.90 : 307,913.20 = 65,032.88 : x
  2. Step 2: Convert to fraction form
    205,277.90/307,913.20 = 65,032.88/x
  3. Step 3: Cross multiply
    205,277.90x = 307,913.20 × 65,032.88
  4. Step 4: Simplify right side
    205,277.90x = 20,024,480,483.87
  5. Step 5: Solve for x
    x = 20,024,480,483.87/205,277.90
  6. Step 6: Final answer
    x = 97,548.16

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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.