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Finding the Fourth Proportional to 102,795.38, 154,215.74 and 43,681.58

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Solution

The fourth proportional to 102,795.38, 154,215.74 and 43,681.58 is: 65,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795.38 : 154,215.74 = 43,681.58 : x
  2. Step 2: Convert to fraction form
    102,795.38/154,215.74 = 43,681.58/x
  3. Step 3: Cross multiply
    102,795.38x = 154,215.74 × 43,681.58
  4. Step 4: Simplify right side
    102,795.38x = 6,736,387,184.07
  5. Step 5: Solve for x
    x = 6,736,387,184.07/102,795.38
  6. Step 6: Final answer
    x = 65,532.00

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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.