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Finding the Fourth Proportional to 180,678.34, 249,422.78 and 127,009.36

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Solution

The fourth proportional to 180,678.34, 249,422.78 and 127,009.36 is: 175,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678.34 : 249,422.78 = 127,009.36 : x
  2. Step 2: Convert to fraction form
    180,678.34/249,422.78 = 127,009.36/x
  3. Step 3: Cross multiply
    180,678.34x = 249,422.78 × 127,009.36
  4. Step 4: Simplify right side
    180,678.34x = 31,679,025,775.06
  5. Step 5: Solve for x
    x = 31,679,025,775.06/180,678.34
  6. Step 6: Final answer
    x = 175,333.84

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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.