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Finding the Fourth Proportional to 164,418.59, 226,935.57 and 96,457.40

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Solution

The fourth proportional to 164,418.59, 226,935.57 and 96,457.40 is: 133,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,418.59 : 226,935.57 = 96,457.40 : x
  2. Step 2: Convert to fraction form
    164,418.59/226,935.57 = 96,457.40/x
  3. Step 3: Cross multiply
    164,418.59x = 226,935.57 × 96,457.40
  4. Step 4: Simplify right side
    164,418.59x = 21,889,615,127.76
  5. Step 5: Solve for x
    x = 21,889,615,127.76/164,418.59
  6. Step 6: Final answer
    x = 133,133.45

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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.