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Finding the Fourth Proportional to 181,810.86, 250,897.95 and 106,357.74

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Solution

The fourth proportional to 181,810.86, 250,897.95 and 106,357.74 is: 146,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,810.86 : 250,897.95 = 106,357.74 : x
  2. Step 2: Convert to fraction form
    181,810.86/250,897.95 = 106,357.74/x
  3. Step 3: Cross multiply
    181,810.86x = 250,897.95 × 106,357.74
  4. Step 4: Simplify right side
    181,810.86x = 26,684,938,932.63
  5. Step 5: Solve for x
    x = 26,684,938,932.63/181,810.86
  6. Step 6: Final answer
    x = 146,773.07

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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.