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Finding the Fourth Proportional to 176,823, 244,015.74 and 97,335

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Solution

The fourth proportional to 176,823, 244,015.74 and 97,335 is: 134,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,823 : 244,015.74 = 97,335 : x
  2. Step 2: Convert to fraction form
    176,823/244,015.74 = 97,335/x
  3. Step 3: Cross multiply
    176,823x = 244,015.74 × 97,335
  4. Step 4: Simplify right side
    176,823x = 23,751,272,052.90
  5. Step 5: Solve for x
    x = 23,751,272,052.90/176,823
  6. Step 6: Final answer
    x = 134,322.30

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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.