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Finding the Fourth Proportional to 153,145.83, 229,718.76 and 47,973

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Solution

The fourth proportional to 153,145.83, 229,718.76 and 47,973 is: 71,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,145.83 : 229,718.76 = 47,973 : x
  2. Step 2: Convert to fraction form
    153,145.83/229,718.76 = 47,973/x
  3. Step 3: Cross multiply
    153,145.83x = 229,718.76 × 47,973
  4. Step 4: Simplify right side
    153,145.83x = 11,020,298,073.48
  5. Step 5: Solve for x
    x = 11,020,298,073.48/153,145.83
  6. Step 6: Final answer
    x = 71,959.50

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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.