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Finding the Fourth Proportional to 214,570.86, 296,114.52 and 123,925.14

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Solution

The fourth proportional to 214,570.86, 296,114.52 and 123,925.14 is: 171,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,570.86 : 296,114.52 = 123,925.14 : x
  2. Step 2: Convert to fraction form
    214,570.86/296,114.52 = 123,925.14/x
  3. Step 3: Cross multiply
    214,570.86x = 296,114.52 × 123,925.14
  4. Step 4: Simplify right side
    214,570.86x = 36,696,033,347.03
  5. Step 5: Solve for x
    x = 36,696,033,347.03/214,570.86
  6. Step 6: Final answer
    x = 171,020.58

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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.