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Finding the Fourth Proportional to 265,069.06, 397,681.95 and 152,829.79

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Solution

The fourth proportional to 265,069.06, 397,681.95 and 152,829.79 is: 229,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,069.06 : 397,681.95 = 152,829.79 : x
  2. Step 2: Convert to fraction form
    265,069.06/397,681.95 = 152,829.79/x
  3. Step 3: Cross multiply
    265,069.06x = 397,681.95 × 152,829.79
  4. Step 4: Simplify right side
    265,069.06x = 60,777,648,484.20
  5. Step 5: Solve for x
    x = 60,777,648,484.20/265,069.06
  6. Step 6: Final answer
    x = 229,289.87

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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.