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Finding the Fourth Proportional to 459,967.14, 689,185.14 and 160,282.50

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Solution

The fourth proportional to 459,967.14, 689,185.14 and 160,282.50 is: 240,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,967.14 : 689,185.14 = 160,282.50 : x
  2. Step 2: Convert to fraction form
    459,967.14/689,185.14 = 160,282.50/x
  3. Step 3: Cross multiply
    459,967.14x = 689,185.14 × 160,282.50
  4. Step 4: Simplify right side
    459,967.14x = 110,464,317,202.05
  5. Step 5: Solve for x
    x = 110,464,317,202.05/459,967.14
  6. Step 6: Final answer
    x = 240,156.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.