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Finding the Fourth Proportional to 224,603.42, 309,840.88 and 133,895.47

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Solution

The fourth proportional to 224,603.42, 309,840.88 and 133,895.47 is: 184,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,603.42 : 309,840.88 = 133,895.47 : x
  2. Step 2: Convert to fraction form
    224,603.42/309,840.88 = 133,895.47/x
  3. Step 3: Cross multiply
    224,603.42x = 309,840.88 × 133,895.47
  4. Step 4: Simplify right side
    224,603.42x = 41,486,290,252.81
  5. Step 5: Solve for x
    x = 41,486,290,252.81/224,603.42
  6. Step 6: Final answer
    x = 184,709.08

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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.