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Finding the Fourth Proportional to 259,158.06, 357,649.02 and 144,436.77

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Solution

The fourth proportional to 259,158.06, 357,649.02 and 144,436.77 is: 199,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,158.06 : 357,649.02 = 144,436.77 : x
  2. Step 2: Convert to fraction form
    259,158.06/357,649.02 = 144,436.77/x
  3. Step 3: Cross multiply
    259,158.06x = 357,649.02 × 144,436.77
  4. Step 4: Simplify right side
    259,158.06x = 51,657,669,242.47
  5. Step 5: Solve for x
    x = 51,657,669,242.47/259,158.06
  6. Step 6: Final answer
    x = 199,328.82

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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.