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Finding the Fourth Proportional to 130,802.14, 180,501.51 and 74,216.62

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Solution

The fourth proportional to 130,802.14, 180,501.51 and 74,216.62 is: 102,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,802.14 : 180,501.51 = 74,216.62 : x
  2. Step 2: Convert to fraction form
    130,802.14/180,501.51 = 74,216.62/x
  3. Step 3: Cross multiply
    130,802.14x = 180,501.51 × 74,216.62
  4. Step 4: Simplify right side
    130,802.14x = 13,396,211,977.10
  5. Step 5: Solve for x
    x = 13,396,211,977.10/130,802.14
  6. Step 6: Final answer
    x = 102,415.85

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