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Finding the Fourth Proportional to 144,483.71, 199,402.52 and 83,232.01

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Solution

The fourth proportional to 144,483.71, 199,402.52 and 83,232.01 is: 114,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,483.71 : 199,402.52 = 83,232.01 : x
  2. Step 2: Convert to fraction form
    144,483.71/199,402.52 = 83,232.01/x
  3. Step 3: Cross multiply
    144,483.71x = 199,402.52 × 83,232.01
  4. Step 4: Simplify right side
    144,483.71x = 16,596,671,624.00
  5. Step 5: Solve for x
    x = 16,596,671,624.00/144,483.71
  6. Step 6: Final answer
    x = 114,868.81

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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.