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Finding the Fourth Proportional to 292,029, 403,000.02 and 157,893

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Solution

The fourth proportional to 292,029, 403,000.02 and 157,893 is: 217,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,029 : 403,000.02 = 157,893 : x
  2. Step 2: Convert to fraction form
    292,029/403,000.02 = 157,893/x
  3. Step 3: Cross multiply
    292,029x = 403,000.02 × 157,893
  4. Step 4: Simplify right side
    292,029x = 63,630,882,157.86
  5. Step 5: Solve for x
    x = 63,630,882,157.86/292,029
  6. Step 6: Final answer
    x = 217,892.34

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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.