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Finding the Fourth Proportional to 153,205.71, 229,808.63 and 48,032.88

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Solution

The fourth proportional to 153,205.71, 229,808.63 and 48,032.88 is: 72,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,205.71 : 229,808.63 = 48,032.88 : x
  2. Step 2: Convert to fraction form
    153,205.71/229,808.63 = 48,032.88/x
  3. Step 3: Cross multiply
    153,205.71x = 229,808.63 × 48,032.88
  4. Step 4: Simplify right side
    153,205.71x = 11,038,370,467.84
  5. Step 5: Solve for x
    x = 11,038,370,467.84/153,205.71
  6. Step 6: Final answer
    x = 72,049.34

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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.