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Finding the Fourth Proportional to 213,987.66, 320,508.36 and 146,359.40

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Solution

The fourth proportional to 213,987.66, 320,508.36 and 146,359.40 is: 219,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,987.66 : 320,508.36 = 146,359.40 : x
  2. Step 2: Convert to fraction form
    213,987.66/320,508.36 = 146,359.40/x
  3. Step 3: Cross multiply
    213,987.66x = 320,508.36 × 146,359.40
  4. Step 4: Simplify right side
    213,987.66x = 46,909,411,264.58
  5. Step 5: Solve for x
    x = 46,909,411,264.58/213,987.66
  6. Step 6: Final answer
    x = 219,215.50

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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.