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Finding the Fourth Proportional to 130,459.14, 180,028.58 and 73,870.65

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Solution

The fourth proportional to 130,459.14, 180,028.58 and 73,870.65 is: 101,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,459.14 : 180,028.58 = 73,870.65 : x
  2. Step 2: Convert to fraction form
    130,459.14/180,028.58 = 73,870.65/x
  3. Step 3: Cross multiply
    130,459.14x = 180,028.58 × 73,870.65
  4. Step 4: Simplify right side
    130,459.14x = 13,298,827,853.82
  5. Step 5: Solve for x
    x = 13,298,827,853.82/130,459.14
  6. Step 6: Final answer
    x = 101,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.