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Finding the Fourth Proportional to 180,599.75, 249,133.16 and 111,667.18

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Solution

The fourth proportional to 180,599.75, 249,133.16 and 111,667.18 is: 154,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,599.75 : 249,133.16 = 111,667.18 : x
  2. Step 2: Convert to fraction form
    180,599.75/249,133.16 = 111,667.18/x
  3. Step 3: Cross multiply
    180,599.75x = 249,133.16 × 111,667.18
  4. Step 4: Simplify right side
    180,599.75x = 27,819,997,078.02
  5. Step 5: Solve for x
    x = 27,819,997,078.02/180,599.75
  6. Step 6: Final answer
    x = 154,042.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.