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Finding the Fourth Proportional to 292,039.83, 403,088.40 and 164,788.83

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Solution

The fourth proportional to 292,039.83, 403,088.40 and 164,788.83 is: 227,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,039.83 : 403,088.40 = 164,788.83 : x
  2. Step 2: Convert to fraction form
    292,039.83/403,088.40 = 164,788.83/x
  3. Step 3: Cross multiply
    292,039.83x = 403,088.40 × 164,788.83
  4. Step 4: Simplify right side
    292,039.83x = 66,424,465,822.57
  5. Step 5: Solve for x
    x = 66,424,465,822.57/292,039.83
  6. Step 6: Final answer
    x = 227,450.02

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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.