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Finding the Fourth Proportional to 121,446.14, 180,948.13 and 114,655.50

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Solution

The fourth proportional to 121,446.14, 180,948.13 and 114,655.50 is: 170,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,446.14 : 180,948.13 = 114,655.50 : x
  2. Step 2: Convert to fraction form
    121,446.14/180,948.13 = 114,655.50/x
  3. Step 3: Cross multiply
    121,446.14x = 180,948.13 × 114,655.50
  4. Step 4: Simplify right side
    121,446.14x = 20,746,698,032.58
  5. Step 5: Solve for x
    x = 20,746,698,032.58/121,446.14
  6. Step 6: Final answer
    x = 170,830.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.