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Finding the Fourth Proportional to 291,896.42, 402,807.93 and 164,570.18

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Solution

The fourth proportional to 291,896.42, 402,807.93 and 164,570.18 is: 227,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,896.42 : 402,807.93 = 164,570.18 : x
  2. Step 2: Convert to fraction form
    291,896.42/402,807.93 = 164,570.18/x
  3. Step 3: Cross multiply
    291,896.42x = 402,807.93 × 164,570.18
  4. Step 4: Simplify right side
    291,896.42x = 66,290,173,545.53
  5. Step 5: Solve for x
    x = 66,290,173,545.53/291,896.42
  6. Step 6: Final answer
    x = 227,101.70

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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.