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Finding the Fourth Proportional to 212,130.27, 292,737.40 and 157,924.80

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Solution

The fourth proportional to 212,130.27, 292,737.40 and 157,924.80 is: 217,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,130.27 : 292,737.40 = 157,924.80 : x
  2. Step 2: Convert to fraction form
    212,130.27/292,737.40 = 157,924.80/x
  3. Step 3: Cross multiply
    212,130.27x = 292,737.40 × 157,924.80
  4. Step 4: Simplify right side
    212,130.27x = 46,230,494,952.71
  5. Step 5: Solve for x
    x = 46,230,494,952.71/212,130.27
  6. Step 6: Final answer
    x = 217,934.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.