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Finding the Fourth Proportional to 292,041, 403,030.62 and 164,713.68

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Solution

The fourth proportional to 292,041, 403,030.62 and 164,713.68 is: 227,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,041 : 403,030.62 = 164,713.68 : x
  2. Step 2: Convert to fraction form
    292,041/403,030.62 = 164,713.68/x
  3. Step 3: Cross multiply
    292,041x = 403,030.62 × 164,713.68
  4. Step 4: Simplify right side
    292,041x = 66,384,656,572.88
  5. Step 5: Solve for x
    x = 66,384,656,572.88/292,041
  6. Step 6: Final answer
    x = 227,312.80

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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.