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Finding the Fourth Proportional to 292,271, 403,333.98 and 158,135

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Solution

The fourth proportional to 292,271, 403,333.98 and 158,135 is: 218,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,271 : 403,333.98 = 158,135 : x
  2. Step 2: Convert to fraction form
    292,271/403,333.98 = 158,135/x
  3. Step 3: Cross multiply
    292,271x = 403,333.98 × 158,135
  4. Step 4: Simplify right side
    292,271x = 63,781,218,927.30
  5. Step 5: Solve for x
    x = 63,781,218,927.30/292,271
  6. Step 6: Final answer
    x = 218,226.30

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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.