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Finding the Fourth Proportional to 282,688.66, 390,119.75 and 166,381.05

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Solution

The fourth proportional to 282,688.66, 390,119.75 and 166,381.05 is: 229,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,688.66 : 390,119.75 = 166,381.05 : x
  2. Step 2: Convert to fraction form
    282,688.66/390,119.75 = 166,381.05/x
  3. Step 3: Cross multiply
    282,688.66x = 390,119.75 × 166,381.05
  4. Step 4: Simplify right side
    282,688.66x = 64,908,532,830.44
  5. Step 5: Solve for x
    x = 64,908,532,830.44/282,688.66
  6. Step 6: Final answer
    x = 229,611.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.