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Finding the Fourth Proportional to 140,322.78, 210,554.54 and 65,448.81

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Solution

The fourth proportional to 140,322.78, 210,554.54 and 65,448.81 is: 98,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.78 : 210,554.54 = 65,448.81 : x
  2. Step 2: Convert to fraction form
    140,322.78/210,554.54 = 65,448.81/x
  3. Step 3: Cross multiply
    140,322.78x = 210,554.54 × 65,448.81
  4. Step 4: Simplify right side
    140,322.78x = 13,780,544,001.29
  5. Step 5: Solve for x
    x = 13,780,544,001.29/140,322.78
  6. Step 6: Final answer
    x = 98,206.04

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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.