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Finding the Fourth Proportional to 130,615.32, 180,290.16 and 74,064.36

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Solution

The fourth proportional to 130,615.32, 180,290.16 and 74,064.36 is: 102,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,615.32 : 180,290.16 = 74,064.36 : x
  2. Step 2: Convert to fraction form
    130,615.32/180,290.16 = 74,064.36/x
  3. Step 3: Cross multiply
    130,615.32x = 180,290.16 × 74,064.36
  4. Step 4: Simplify right side
    130,615.32x = 13,353,075,314.70
  5. Step 5: Solve for x
    x = 13,353,075,314.70/130,615.32
  6. Step 6: Final answer
    x = 102,232.08

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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.