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Finding the Fourth Proportional to 162,002.90, 242,973.03 and 49,655.90

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Solution

The fourth proportional to 162,002.90, 242,973.03 and 49,655.90 is: 74,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.90 : 242,973.03 = 49,655.90 : x
  2. Step 2: Convert to fraction form
    162,002.90/242,973.03 = 49,655.90/x
  3. Step 3: Cross multiply
    162,002.90x = 242,973.03 × 49,655.90
  4. Step 4: Simplify right side
    162,002.90x = 12,065,044,480.38
  5. Step 5: Solve for x
    x = 12,065,044,480.38/162,002.90
  6. Step 6: Final answer
    x = 74,474.25

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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.