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Finding the Fourth Proportional to 117,346, 175,863.48 and 97,750.48

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Solution

The fourth proportional to 117,346, 175,863.48 and 97,750.48 is: 146,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,346 : 175,863.48 = 97,750.48 : x
  2. Step 2: Convert to fraction form
    117,346/175,863.48 = 97,750.48/x
  3. Step 3: Cross multiply
    117,346x = 175,863.48 × 97,750.48
  4. Step 4: Simplify right side
    117,346x = 17,190,739,584.47
  5. Step 5: Solve for x
    x = 17,190,739,584.47/117,346
  6. Step 6: Final answer
    x = 146,496.17

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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.