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Finding the Fourth Proportional to 140,308.80, 210,317.40 and 77,031.60

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Solution

The fourth proportional to 140,308.80, 210,317.40 and 77,031.60 is: 115,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,308.80 : 210,317.40 = 77,031.60 : x
  2. Step 2: Convert to fraction form
    140,308.80/210,317.40 = 77,031.60/x
  3. Step 3: Cross multiply
    140,308.80x = 210,317.40 × 77,031.60
  4. Step 4: Simplify right side
    140,308.80x = 16,201,085,829.84
  5. Step 5: Solve for x
    x = 16,201,085,829.84/140,308.80
  6. Step 6: Final answer
    x = 115,467.35

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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.