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Finding the Fourth Proportional to 295,352.48, 443,035 and 105,825.20

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Solution

The fourth proportional to 295,352.48, 443,035 and 105,825.20 is: 158,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,352.48 : 443,035 = 105,825.20 : x
  2. Step 2: Convert to fraction form
    295,352.48/443,035 = 105,825.20/x
  3. Step 3: Cross multiply
    295,352.48x = 443,035 × 105,825.20
  4. Step 4: Simplify right side
    295,352.48x = 46,884,267,482
  5. Step 5: Solve for x
    x = 46,884,267,482/295,352.48
  6. Step 6: Final answer
    x = 158,740.05

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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.