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Finding the Fourth Proportional to 189,400.71, 261,374.51 and 103,360.38

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Solution

The fourth proportional to 189,400.71, 261,374.51 and 103,360.38 is: 142,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,400.71 : 261,374.51 = 103,360.38 : x
  2. Step 2: Convert to fraction form
    189,400.71/261,374.51 = 103,360.38/x
  3. Step 3: Cross multiply
    189,400.71x = 261,374.51 × 103,360.38
  4. Step 4: Simplify right side
    189,400.71x = 27,015,768,159.11
  5. Step 5: Solve for x
    x = 27,015,768,159.11/189,400.71
  6. Step 6: Final answer
    x = 142,638.16

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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.