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Finding the Fourth Proportional to 180,970.92, 249,746.54 and 109,337.09

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Solution

The fourth proportional to 180,970.92, 249,746.54 and 109,337.09 is: 150,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,970.92 : 249,746.54 = 109,337.09 : x
  2. Step 2: Convert to fraction form
    180,970.92/249,746.54 = 109,337.09/x
  3. Step 3: Cross multiply
    180,970.92x = 249,746.54 × 109,337.09
  4. Step 4: Simplify right side
    180,970.92x = 27,306,558,125.75
  5. Step 5: Solve for x
    x = 27,306,558,125.75/180,970.92
  6. Step 6: Final answer
    x = 150,889.20

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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.