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Finding the Fourth Proportional to 130,643.27, 180,290.42 and 74,054.65

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Solution

The fourth proportional to 130,643.27, 180,290.42 and 74,054.65 is: 102,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,643.27 : 180,290.42 = 74,054.65 : x
  2. Step 2: Convert to fraction form
    130,643.27/180,290.42 = 74,054.65/x
  3. Step 3: Cross multiply
    130,643.27x = 180,290.42 × 74,054.65
  4. Step 4: Simplify right side
    130,643.27x = 13,351,343,050.00
  5. Step 5: Solve for x
    x = 13,351,343,050.00/130,643.27
  6. Step 6: Final answer
    x = 102,196.94

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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.