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Finding the Fourth Proportional to 145,938.40, 218,421.60 and 105,843.40

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Solution

The fourth proportional to 145,938.40, 218,421.60 and 105,843.40 is: 158,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,938.40 : 218,421.60 = 105,843.40 : x
  2. Step 2: Convert to fraction form
    145,938.40/218,421.60 = 105,843.40/x
  3. Step 3: Cross multiply
    145,938.40x = 218,421.60 × 105,843.40
  4. Step 4: Simplify right side
    145,938.40x = 23,118,484,777.44
  5. Step 5: Solve for x
    x = 23,118,484,777.44/145,938.40
  6. Step 6: Final answer
    x = 158,412.62

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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.