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Finding the Fourth Proportional to 117,856.36, 176,784.54 and 97,036.12

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Solution

The fourth proportional to 117,856.36, 176,784.54 and 97,036.12 is: 145,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,856.36 : 176,784.54 = 97,036.12 : x
  2. Step 2: Convert to fraction form
    117,856.36/176,784.54 = 97,036.12/x
  3. Step 3: Cross multiply
    117,856.36x = 176,784.54 × 97,036.12
  4. Step 4: Simplify right side
    117,856.36x = 17,154,485,837.58
  5. Step 5: Solve for x
    x = 17,154,485,837.58/117,856.36
  6. Step 6: Final answer
    x = 145,554.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.