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Finding the Fourth Proportional to 310,129.53, 465,287.69 and 96,888.83

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Solution

The fourth proportional to 310,129.53, 465,287.69 and 96,888.83 is: 145,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,129.53 : 465,287.69 = 96,888.83 : x
  2. Step 2: Convert to fraction form
    310,129.53/465,287.69 = 96,888.83/x
  3. Step 3: Cross multiply
    310,129.53x = 465,287.69 × 96,888.83
  4. Step 4: Simplify right side
    310,129.53x = 45,081,179,897.50
  5. Step 5: Solve for x
    x = 45,081,179,897.50/310,129.53
  6. Step 6: Final answer
    x = 145,362.42

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1.5x scale

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.