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Finding the Fourth Proportional to 236,346, 354,442.32 and 78,532.08

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Solution

The fourth proportional to 236,346, 354,442.32 and 78,532.08 is: 117,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,346 : 354,442.32 = 78,532.08 : x
  2. Step 2: Convert to fraction form
    236,346/354,442.32 = 78,532.08/x
  3. Step 3: Cross multiply
    236,346x = 354,442.32 × 78,532.08
  4. Step 4: Simplify right side
    236,346x = 27,835,092,629.63
  5. Step 5: Solve for x
    x = 27,835,092,629.63/236,346
  6. Step 6: Final answer
    x = 117,772.64

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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.