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Finding the Fourth Proportional to 148,533.92, 204,957.90 and 84,875.84

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Solution

The fourth proportional to 148,533.92, 204,957.90 and 84,875.84 is: 117,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.92 : 204,957.90 = 84,875.84 : x
  2. Step 2: Convert to fraction form
    148,533.92/204,957.90 = 84,875.84/x
  3. Step 3: Cross multiply
    148,533.92x = 204,957.90 × 84,875.84
  4. Step 4: Simplify right side
    148,533.92x = 17,395,973,927.14
  5. Step 5: Solve for x
    x = 17,395,973,927.14/148,533.92
  6. Step 6: Final answer
    x = 117,117.85

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1.5x scale

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.