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Finding the Fourth Proportional to 164,552.30, 226,921.10 and 100,030.32

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Solution

The fourth proportional to 164,552.30, 226,921.10 and 100,030.32 is: 137,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,552.30 : 226,921.10 = 100,030.32 : x
  2. Step 2: Convert to fraction form
    164,552.30/226,921.10 = 100,030.32/x
  3. Step 3: Cross multiply
    164,552.30x = 226,921.10 × 100,030.32
  4. Step 4: Simplify right side
    164,552.30x = 22,698,989,747.60
  5. Step 5: Solve for x
    x = 22,698,989,747.60/164,552.30
  6. Step 6: Final answer
    x = 137,943.93

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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.