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Finding the Fourth Proportional to 162,003.40, 242,973.78 and 49,656.40

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Solution

The fourth proportional to 162,003.40, 242,973.78 and 49,656.40 is: 74,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,003.40 : 242,973.78 = 49,656.40 : x
  2. Step 2: Convert to fraction form
    162,003.40/242,973.78 = 49,656.40/x
  3. Step 3: Cross multiply
    162,003.40x = 242,973.78 × 49,656.40
  4. Step 4: Simplify right side
    162,003.40x = 12,065,203,209.19
  5. Step 5: Solve for x
    x = 12,065,203,209.19/162,003.40
  6. Step 6: Final answer
    x = 74,475.00

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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.