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Finding the Fourth Proportional to 153,177, 229,778.46 and 42,369

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Solution

The fourth proportional to 153,177, 229,778.46 and 42,369 is: 63,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,177 : 229,778.46 = 42,369 : x
  2. Step 2: Convert to fraction form
    153,177/229,778.46 = 42,369/x
  3. Step 3: Cross multiply
    153,177x = 229,778.46 × 42,369
  4. Step 4: Simplify right side
    153,177x = 9,735,483,571.74
  5. Step 5: Solve for x
    x = 9,735,483,571.74/153,177
  6. Step 6: Final answer
    x = 63,557.08

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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.