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Finding the Fourth Proportional to 227,905.13, 314,509.08 and 127,303.13

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Solution

The fourth proportional to 227,905.13, 314,509.08 and 127,303.13 is: 175,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,905.13 : 314,509.08 = 127,303.13 : x
  2. Step 2: Convert to fraction form
    227,905.13/314,509.08 = 127,303.13/x
  3. Step 3: Cross multiply
    227,905.13x = 314,509.08 × 127,303.13
  4. Step 4: Simplify right side
    227,905.13x = 40,037,988,724.88
  5. Step 5: Solve for x
    x = 40,037,988,724.88/227,905.13
  6. Step 6: Final answer
    x = 175,678.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.