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Finding the Fourth Proportional to 123,506, 185,507.64 and 73,683.44

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Solution

The fourth proportional to 123,506, 185,507.64 and 73,683.44 is: 110,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,506 : 185,507.64 = 73,683.44 : x
  2. Step 2: Convert to fraction form
    123,506/185,507.64 = 73,683.44/x
  3. Step 3: Cross multiply
    123,506x = 185,507.64 × 73,683.44
  4. Step 4: Simplify right side
    123,506x = 13,668,841,061.48
  5. Step 5: Solve for x
    x = 13,668,841,061.48/123,506
  6. Step 6: Final answer
    x = 110,673.50

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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.