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Finding the Fourth Proportional to 153,936.60, 230,904.90 and 101,405.40

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Solution

The fourth proportional to 153,936.60, 230,904.90 and 101,405.40 is: 152,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,936.60 : 230,904.90 = 101,405.40 : x
  2. Step 2: Convert to fraction form
    153,936.60/230,904.90 = 101,405.40/x
  3. Step 3: Cross multiply
    153,936.60x = 230,904.90 × 101,405.40
  4. Step 4: Simplify right side
    153,936.60x = 23,415,003,746.46
  5. Step 5: Solve for x
    x = 23,415,003,746.46/153,936.60
  6. Step 6: Final answer
    x = 152,108.10

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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.