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Finding the Fourth Proportional to 201,468.84, 278,036.40 and 116,569.48

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Solution

The fourth proportional to 201,468.84, 278,036.40 and 116,569.48 is: 160,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,468.84 : 278,036.40 = 116,569.48 : x
  2. Step 2: Convert to fraction form
    201,468.84/278,036.40 = 116,569.48/x
  3. Step 3: Cross multiply
    201,468.84x = 278,036.40 × 116,569.48
  4. Step 4: Simplify right side
    201,468.84x = 32,410,558,569.07
  5. Step 5: Solve for x
    x = 32,410,558,569.07/201,468.84
  6. Step 6: Final answer
    x = 160,871.32

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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.