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Finding the Fourth Proportional to 119,492.90, 164,903.93 and 65,048.70

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Solution

The fourth proportional to 119,492.90, 164,903.93 and 65,048.70 is: 89,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,492.90 : 164,903.93 = 65,048.70 : x
  2. Step 2: Convert to fraction form
    119,492.90/164,903.93 = 65,048.70/x
  3. Step 3: Cross multiply
    119,492.90x = 164,903.93 × 65,048.70
  4. Step 4: Simplify right side
    119,492.90x = 10,726,785,946.15
  5. Step 5: Solve for x
    x = 10,726,785,946.15/119,492.90
  6. Step 6: Final answer
    x = 89,769.24

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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.