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Finding the Fourth Proportional to 243,011.77, 364,501.45 and 116,742.49

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Solution

The fourth proportional to 243,011.77, 364,501.45 and 116,742.49 is: 175,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,011.77 : 364,501.45 = 116,742.49 : x
  2. Step 2: Convert to fraction form
    243,011.77/364,501.45 = 116,742.49/x
  3. Step 3: Cross multiply
    243,011.77x = 364,501.45 × 116,742.49
  4. Step 4: Simplify right side
    243,011.77x = 42,552,806,881.61
  5. Step 5: Solve for x
    x = 42,552,806,881.61/243,011.77
  6. Step 6: Final answer
    x = 175,105.95

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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.