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Finding the Fourth Proportional to 101,743.40, 152,509.80 and 45,610.40

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Solution

The fourth proportional to 101,743.40, 152,509.80 and 45,610.40 is: 68,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,743.40 : 152,509.80 = 45,610.40 : x
  2. Step 2: Convert to fraction form
    101,743.40/152,509.80 = 45,610.40/x
  3. Step 3: Cross multiply
    101,743.40x = 152,509.80 × 45,610.40
  4. Step 4: Simplify right side
    101,743.40x = 6,956,032,981.92
  5. Step 5: Solve for x
    x = 6,956,032,981.92/101,743.40
  6. Step 6: Final answer
    x = 68,368.40

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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.