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Finding the Fourth Proportional to 210,681.60, 316,022.40 and 131,884.80

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Solution

The fourth proportional to 210,681.60, 316,022.40 and 131,884.80 is: 197,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,681.60 : 316,022.40 = 131,884.80 : x
  2. Step 2: Convert to fraction form
    210,681.60/316,022.40 = 131,884.80/x
  3. Step 3: Cross multiply
    210,681.60x = 316,022.40 × 131,884.80
  4. Step 4: Simplify right side
    210,681.60x = 41,678,551,019.52
  5. Step 5: Solve for x
    x = 41,678,551,019.52/210,681.60
  6. Step 6: Final answer
    x = 197,827.20

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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.