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Finding the Fourth Proportional to 180,544.47, 249,159.09 and 99,971.91

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Solution

The fourth proportional to 180,544.47, 249,159.09 and 99,971.91 is: 137,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,544.47 : 249,159.09 = 99,971.91 : x
  2. Step 2: Convert to fraction form
    180,544.47/249,159.09 = 99,971.91/x
  3. Step 3: Cross multiply
    180,544.47x = 249,159.09 × 99,971.91
  4. Step 4: Simplify right side
    180,544.47x = 24,908,910,121.16
  5. Step 5: Solve for x
    x = 24,908,910,121.16/180,544.47
  6. Step 6: Final answer
    x = 137,965.51

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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.