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Finding the Fourth Proportional to 228,224.51, 314,843.69 and 147,678.03

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Solution

The fourth proportional to 228,224.51, 314,843.69 and 147,678.03 is: 203,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,224.51 : 314,843.69 = 147,678.03 : x
  2. Step 2: Convert to fraction form
    228,224.51/314,843.69 = 147,678.03/x
  3. Step 3: Cross multiply
    228,224.51x = 314,843.69 × 147,678.03
  4. Step 4: Simplify right side
    228,224.51x = 46,495,495,158.74
  5. Step 5: Solve for x
    x = 46,495,495,158.74/228,224.51
  6. Step 6: Final answer
    x = 203,727.01

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1.5x scale

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.