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Finding the Fourth Proportional to 153,240, 229,816.44 and 64,513.68

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Solution

The fourth proportional to 153,240, 229,816.44 and 64,513.68 is: 96,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,240 : 229,816.44 = 64,513.68 : x
  2. Step 2: Convert to fraction form
    153,240/229,816.44 = 64,513.68/x
  3. Step 3: Cross multiply
    153,240x = 229,816.44 × 64,513.68
  4. Step 4: Simplify right side
    153,240x = 14,826,304,268.90
  5. Step 5: Solve for x
    x = 14,826,304,268.90/153,240
  6. Step 6: Final answer
    x = 96,752.18

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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.