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Finding the Fourth Proportional to 210,034.88, 289,684.32 and 134,590.40

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Solution

The fourth proportional to 210,034.88, 289,684.32 and 134,590.40 is: 185,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,034.88 : 289,684.32 = 134,590.40 : x
  2. Step 2: Convert to fraction form
    210,034.88/289,684.32 = 134,590.40/x
  3. Step 3: Cross multiply
    210,034.88x = 289,684.32 × 134,590.40
  4. Step 4: Simplify right side
    210,034.88x = 38,988,728,502.53
  5. Step 5: Solve for x
    x = 38,988,728,502.53/210,034.88
  6. Step 6: Final answer
    x = 185,629.78

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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.