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Finding the Fourth Proportional to 224,064, 309,214.80 and 123,468.48

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Solution

The fourth proportional to 224,064, 309,214.80 and 123,468.48 is: 170,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,064 : 309,214.80 = 123,468.48 : x
  2. Step 2: Convert to fraction form
    224,064/309,214.80 = 123,468.48/x
  3. Step 3: Cross multiply
    224,064x = 309,214.80 × 123,468.48
  4. Step 4: Simplify right side
    224,064x = 38,178,281,349.50
  5. Step 5: Solve for x
    x = 38,178,281,349.50/224,064
  6. Step 6: Final answer
    x = 170,390.07

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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.