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Finding the Fourth Proportional to 180,698.84, 249,360.68 and 100,125.66

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Solution

The fourth proportional to 180,698.84, 249,360.68 and 100,125.66 is: 138,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,698.84 : 249,360.68 = 100,125.66 : x
  2. Step 2: Convert to fraction form
    180,698.84/249,360.68 = 100,125.66/x
  3. Step 3: Cross multiply
    180,698.84x = 249,360.68 × 100,125.66
  4. Step 4: Simplify right side
    180,698.84x = 24,967,403,109.93
  5. Step 5: Solve for x
    x = 24,967,403,109.93/180,698.84
  6. Step 6: Final answer
    x = 138,171.35

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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.