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Finding the Fourth Proportional to 289,330.16, 399,261.67 and 160,259.90

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Solution

The fourth proportional to 289,330.16, 399,261.67 and 160,259.90 is: 221,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,330.16 : 399,261.67 = 160,259.90 : x
  2. Step 2: Convert to fraction form
    289,330.16/399,261.67 = 160,259.90/x
  3. Step 3: Cross multiply
    289,330.16x = 399,261.67 × 160,259.90
  4. Step 4: Simplify right side
    289,330.16x = 63,985,632,911.07
  5. Step 5: Solve for x
    x = 63,985,632,911.07/289,330.16
  6. Step 6: Final answer
    x = 221,150.93

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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.