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Finding the Fourth Proportional to 164,044.31, 224,904.69 and 161,054.93

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Solution

The fourth proportional to 164,044.31, 224,904.69 and 161,054.93 is: 220,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,044.31 : 224,904.69 = 161,054.93 : x
  2. Step 2: Convert to fraction form
    164,044.31/224,904.69 = 161,054.93/x
  3. Step 3: Cross multiply
    164,044.31x = 224,904.69 × 161,054.93
  4. Step 4: Simplify right side
    164,044.31x = 36,222,009,666.88
  5. Step 5: Solve for x
    x = 36,222,009,666.88/164,044.31
  6. Step 6: Final answer
    x = 220,806.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.