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Finding the Fourth Proportional to 176,346, 243,357.48 and 96,858

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Solution

The fourth proportional to 176,346, 243,357.48 and 96,858 is: 133,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,346 : 243,357.48 = 96,858 : x
  2. Step 2: Convert to fraction form
    176,346/243,357.48 = 96,858/x
  3. Step 3: Cross multiply
    176,346x = 243,357.48 × 96,858
  4. Step 4: Simplify right side
    176,346x = 23,571,118,797.84
  5. Step 5: Solve for x
    x = 23,571,118,797.84/176,346
  6. Step 6: Final answer
    x = 133,664.04

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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.