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Finding the Fourth Proportional to 130,688.16, 180,283.17 and 85,392.63

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Solution

The fourth proportional to 130,688.16, 180,283.17 and 85,392.63 is: 117,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,688.16 : 180,283.17 = 85,392.63 : x
  2. Step 2: Convert to fraction form
    130,688.16/180,283.17 = 85,392.63/x
  3. Step 3: Cross multiply
    130,688.16x = 180,283.17 × 85,392.63
  4. Step 4: Simplify right side
    130,688.16x = 15,394,854,031.04
  5. Step 5: Solve for x
    x = 15,394,854,031.04/130,688.16
  6. Step 6: Final answer
    x = 117,798.38

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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.