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Finding the Fourth Proportional to 230,055.84, 344,838 and 164,192.16

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Solution

The fourth proportional to 230,055.84, 344,838 and 164,192.16 is: 246,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,055.84 : 344,838 = 164,192.16 : x
  2. Step 2: Convert to fraction form
    230,055.84/344,838 = 164,192.16/x
  3. Step 3: Cross multiply
    230,055.84x = 344,838 × 164,192.16
  4. Step 4: Simplify right side
    230,055.84x = 56,619,696,070.08
  5. Step 5: Solve for x
    x = 56,619,696,070.08/230,055.84
  6. Step 6: Final answer
    x = 246,112.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.