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Finding the Fourth Proportional to 264,830, 397,248.65 and 146,732

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Solution

The fourth proportional to 264,830, 397,248.65 and 146,732 is: 220,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,830 : 397,248.65 = 146,732 : x
  2. Step 2: Convert to fraction form
    264,830/397,248.65 = 146,732/x
  3. Step 3: Cross multiply
    264,830x = 397,248.65 × 146,732
  4. Step 4: Simplify right side
    264,830x = 58,289,088,178.14
  5. Step 5: Solve for x
    x = 58,289,088,178.14/264,830
  6. Step 6: Final answer
    x = 220,100.02

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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.