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Finding the Fourth Proportional to 144,568.32, 216,852.48 and 61,404.16

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Solution

The fourth proportional to 144,568.32, 216,852.48 and 61,404.16 is: 92,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,568.32 : 216,852.48 = 61,404.16 : x
  2. Step 2: Convert to fraction form
    144,568.32/216,852.48 = 61,404.16/x
  3. Step 3: Cross multiply
    144,568.32x = 216,852.48 × 61,404.16
  4. Step 4: Simplify right side
    144,568.32x = 13,315,644,378.32
  5. Step 5: Solve for x
    x = 13,315,644,378.32/144,568.32
  6. Step 6: Final answer
    x = 92,106.24

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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.