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Finding the Fourth Proportional to 180,785.84, 249,480.48 and 100,212.65

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Solution

The fourth proportional to 180,785.84, 249,480.48 and 100,212.65 is: 138,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,785.84 : 249,480.48 = 100,212.65 : x
  2. Step 2: Convert to fraction form
    180,785.84/249,480.48 = 100,212.65/x
  3. Step 3: Cross multiply
    180,785.84x = 249,480.48 × 100,212.65
  4. Step 4: Simplify right side
    180,785.84x = 25,001,100,024.07
  5. Step 5: Solve for x
    x = 25,001,100,024.07/180,785.84
  6. Step 6: Final answer
    x = 138,291.26

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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.