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Finding the Fourth Proportional to 144,202.68, 216,300.24 and 65,259.36

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Solution

The fourth proportional to 144,202.68, 216,300.24 and 65,259.36 is: 97,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,202.68 : 216,300.24 = 65,259.36 : x
  2. Step 2: Convert to fraction form
    144,202.68/216,300.24 = 65,259.36/x
  3. Step 3: Cross multiply
    144,202.68x = 216,300.24 × 65,259.36
  4. Step 4: Simplify right side
    144,202.68x = 14,115,615,230.25
  5. Step 5: Solve for x
    x = 14,115,615,230.25/144,202.68
  6. Step 6: Final answer
    x = 97,887.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.