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Finding the Fourth Proportional to 180,791.16, 249,465.55 and 100,218.63

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Solution

The fourth proportional to 180,791.16, 249,465.55 and 100,218.63 is: 138,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,791.16 : 249,465.55 = 100,218.63 : x
  2. Step 2: Convert to fraction form
    180,791.16/249,465.55 = 100,218.63/x
  3. Step 3: Cross multiply
    180,791.16x = 249,465.55 × 100,218.63
  4. Step 4: Simplify right side
    180,791.16x = 25,001,095,653.20
  5. Step 5: Solve for x
    x = 25,001,095,653.20/180,791.16
  6. Step 6: Final answer
    x = 138,287.16

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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.