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Finding the Fourth Proportional to 224,518.51, 309,537.80 and 186,133.15

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Solution

The fourth proportional to 224,518.51, 309,537.80 and 186,133.15 is: 256,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,518.51 : 309,537.80 = 186,133.15 : x
  2. Step 2: Convert to fraction form
    224,518.51/309,537.80 = 186,133.15/x
  3. Step 3: Cross multiply
    224,518.51x = 309,537.80 × 186,133.15
  4. Step 4: Simplify right side
    224,518.51x = 57,615,244,210.38
  5. Step 5: Solve for x
    x = 57,615,244,210.38/224,518.51
  6. Step 6: Final answer
    x = 256,616.91

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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.