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Finding the Fourth Proportional to 243,275.46, 364,948.14 and 74,809.98

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Solution

The fourth proportional to 243,275.46, 364,948.14 and 74,809.98 is: 112,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,275.46 : 364,948.14 = 74,809.98 : x
  2. Step 2: Convert to fraction form
    243,275.46/364,948.14 = 74,809.98/x
  3. Step 3: Cross multiply
    243,275.46x = 364,948.14 × 74,809.98
  4. Step 4: Simplify right side
    243,275.46x = 27,301,763,054.44
  5. Step 5: Solve for x
    x = 27,301,763,054.44/243,275.46
  6. Step 6: Final answer
    x = 112,225.72

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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.