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Finding the Fourth Proportional to 227,627.84, 314,097.44 and 127,030.08

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Solution

The fourth proportional to 227,627.84, 314,097.44 and 127,030.08 is: 175,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,627.84 : 314,097.44 = 127,030.08 : x
  2. Step 2: Convert to fraction form
    227,627.84/314,097.44 = 127,030.08/x
  3. Step 3: Cross multiply
    227,627.84x = 314,097.44 × 127,030.08
  4. Step 4: Simplify right side
    227,627.84x = 39,899,822,931.00
  5. Step 5: Solve for x
    x = 39,899,822,931.00/227,627.84
  6. Step 6: Final answer
    x = 175,285.34

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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.