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Finding the Fourth Proportional to 153,205.84, 229,808.82 and 48,033.01

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Solution

The fourth proportional to 153,205.84, 229,808.82 and 48,033.01 is: 72,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,205.84 : 229,808.82 = 48,033.01 : x
  2. Step 2: Convert to fraction form
    153,205.84/229,808.82 = 48,033.01/x
  3. Step 3: Cross multiply
    153,205.84x = 229,808.82 × 48,033.01
  4. Step 4: Simplify right side
    153,205.84x = 11,038,408,200.10
  5. Step 5: Solve for x
    x = 11,038,408,200.10/153,205.84
  6. Step 6: Final answer
    x = 72,049.53

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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.