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Finding the Fourth Proportional to 292,041.66, 403,103.66 and 171,209.10

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Solution

The fourth proportional to 292,041.66, 403,103.66 and 171,209.10 is: 236,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,041.66 : 403,103.66 = 171,209.10 : x
  2. Step 2: Convert to fraction form
    292,041.66/403,103.66 = 171,209.10/x
  3. Step 3: Cross multiply
    292,041.66x = 403,103.66 × 171,209.10
  4. Step 4: Simplify right side
    292,041.66x = 69,015,013,979.26
  5. Step 5: Solve for x
    x = 69,015,013,979.26/292,041.66
  6. Step 6: Final answer
    x = 236,319.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.