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Finding the Fourth Proportional to 292,156, 403,176 and 158,020

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Solution

The fourth proportional to 292,156, 403,176 and 158,020 is: 218,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,156 : 403,176 = 158,020 : x
  2. Step 2: Convert to fraction form
    292,156/403,176 = 158,020/x
  3. Step 3: Cross multiply
    292,156x = 403,176 × 158,020
  4. Step 4: Simplify right side
    292,156x = 63,709,871,520
  5. Step 5: Solve for x
    x = 63,709,871,520/292,156
  6. Step 6: Final answer
    x = 218,067.99

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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.