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Finding the Fourth Proportional to 130,649.16, 180,328.50 and 80,319

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Solution

The fourth proportional to 130,649.16, 180,328.50 and 80,319 is: 110,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,649.16 : 180,328.50 = 80,319 : x
  2. Step 2: Convert to fraction form
    130,649.16/180,328.50 = 80,319/x
  3. Step 3: Cross multiply
    130,649.16x = 180,328.50 × 80,319
  4. Step 4: Simplify right side
    130,649.16x = 14,483,804,791.50
  5. Step 5: Solve for x
    x = 14,483,804,791.50/130,649.16
  6. Step 6: Final answer
    x = 110,860.30

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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.