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Finding the Fourth Proportional to 164,881.60, 247,322.40 and 153,822.40

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Solution

The fourth proportional to 164,881.60, 247,322.40 and 153,822.40 is: 230,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,881.60 : 247,322.40 = 153,822.40 : x
  2. Step 2: Convert to fraction form
    164,881.60/247,322.40 = 153,822.40/x
  3. Step 3: Cross multiply
    164,881.60x = 247,322.40 × 153,822.40
  4. Step 4: Simplify right side
    164,881.60x = 38,043,725,141.76
  5. Step 5: Solve for x
    x = 38,043,725,141.76/164,881.60
  6. Step 6: Final answer
    x = 230,733.60

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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.