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Finding the Fourth Proportional to 228,224.66, 314,844 and 147,678.16

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Solution

The fourth proportional to 228,224.66, 314,844 and 147,678.16 is: 203,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,224.66 : 314,844 = 147,678.16 : x
  2. Step 2: Convert to fraction form
    228,224.66/314,844 = 147,678.16/x
  3. Step 3: Cross multiply
    228,224.66x = 314,844 × 147,678.16
  4. Step 4: Simplify right side
    228,224.66x = 46,495,582,607.04
  5. Step 5: Solve for x
    x = 46,495,582,607.04/228,224.66
  6. Step 6: Final answer
    x = 203,727.25

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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.