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Finding the Fourth Proportional to 256,935.60, 385,403.40 and 109,172.40

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Solution

The fourth proportional to 256,935.60, 385,403.40 and 109,172.40 is: 163,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,935.60 : 385,403.40 = 109,172.40 : x
  2. Step 2: Convert to fraction form
    256,935.60/385,403.40 = 109,172.40/x
  3. Step 3: Cross multiply
    256,935.60x = 385,403.40 × 109,172.40
  4. Step 4: Simplify right side
    256,935.60x = 42,075,414,146.16
  5. Step 5: Solve for x
    x = 42,075,414,146.16/256,935.60
  6. Step 6: Final answer
    x = 163,758.60

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Why These Related Problems?

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