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Finding the Fourth Proportional to 153,276, 229,914 and 42,468

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Solution

The fourth proportional to 153,276, 229,914 and 42,468 is: 63,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,276 : 229,914 = 42,468 : x
  2. Step 2: Convert to fraction form
    153,276/229,914 = 42,468/x
  3. Step 3: Cross multiply
    153,276x = 229,914 × 42,468
  4. Step 4: Simplify right side
    153,276x = 9,763,987,752
  5. Step 5: Solve for x
    x = 9,763,987,752/153,276
  6. Step 6: Final answer
    x = 63,702

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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.