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Finding the Fourth Proportional to 163,225.61, 225,192.98 and 102,800.01

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Solution

The fourth proportional to 163,225.61, 225,192.98 and 102,800.01 is: 141,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,225.61 : 225,192.98 = 102,800.01 : x
  2. Step 2: Convert to fraction form
    163,225.61/225,192.98 = 102,800.01/x
  3. Step 3: Cross multiply
    163,225.61x = 225,192.98 × 102,800.01
  4. Step 4: Simplify right side
    163,225.61x = 23,149,840,852.93
  5. Step 5: Solve for x
    x = 23,149,840,852.93/163,225.61
  6. Step 6: Final answer
    x = 141,827.26

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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.