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Finding the Fourth Proportional to 259,014.30, 357,465.32 and 151,577.92

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Solution

The fourth proportional to 259,014.30, 357,465.32 and 151,577.92 is: 209,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,014.30 : 357,465.32 = 151,577.92 : x
  2. Step 2: Convert to fraction form
    259,014.30/357,465.32 = 151,577.92/x
  3. Step 3: Cross multiply
    259,014.30x = 357,465.32 × 151,577.92
  4. Step 4: Simplify right side
    259,014.30x = 54,183,849,677.73
  5. Step 5: Solve for x
    x = 54,183,849,677.73/259,014.30
  6. Step 6: Final answer
    x = 209,192.50

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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.