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Finding the Fourth Proportional to 206,877.40, 310,316.10 and 88,779.40

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Solution

The fourth proportional to 206,877.40, 310,316.10 and 88,779.40 is: 133,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,877.40 : 310,316.10 = 88,779.40 : x
  2. Step 2: Convert to fraction form
    206,877.40/310,316.10 = 88,779.40/x
  3. Step 3: Cross multiply
    206,877.40x = 310,316.10 × 88,779.40
  4. Step 4: Simplify right side
    206,877.40x = 27,549,677,168.34
  5. Step 5: Solve for x
    x = 27,549,677,168.34/206,877.40
  6. Step 6: Final answer
    x = 133,169.10

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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.