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Finding the Fourth Proportional to 164,156.01, 226,496.71 and 99,623.81

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Solution

The fourth proportional to 164,156.01, 226,496.71 and 99,623.81 is: 137,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,156.01 : 226,496.71 = 99,623.81 : x
  2. Step 2: Convert to fraction form
    164,156.01/226,496.71 = 99,623.81/x
  3. Step 3: Cross multiply
    164,156.01x = 226,496.71 × 99,623.81
  4. Step 4: Simplify right side
    164,156.01x = 22,564,465,333.05
  5. Step 5: Solve for x
    x = 22,564,465,333.05/164,156.01
  6. Step 6: Final answer
    x = 137,457.45

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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.