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Finding the Fourth Proportional to 145,932.40, 218,412.60 and 105,837.40

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Solution

The fourth proportional to 145,932.40, 218,412.60 and 105,837.40 is: 158,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,932.40 : 218,412.60 = 105,837.40 : x
  2. Step 2: Convert to fraction form
    145,932.40/218,412.60 = 105,837.40/x
  3. Step 3: Cross multiply
    145,932.40x = 218,412.60 × 105,837.40
  4. Step 4: Simplify right side
    145,932.40x = 23,116,221,711.24
  5. Step 5: Solve for x
    x = 23,116,221,711.24/145,932.40
  6. Step 6: Final answer
    x = 158,403.63

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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.