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Finding the Fourth Proportional to 118,145.84, 177,018.16 and 71,300.28

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Solution

The fourth proportional to 118,145.84, 177,018.16 and 71,300.28 is: 106,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,145.84 : 177,018.16 = 71,300.28 : x
  2. Step 2: Convert to fraction form
    118,145.84/177,018.16 = 71,300.28/x
  3. Step 3: Cross multiply
    118,145.84x = 177,018.16 × 71,300.28
  4. Step 4: Simplify right side
    118,145.84x = 12,621,444,373.08
  5. Step 5: Solve for x
    x = 12,621,444,373.08/118,145.84
  6. Step 6: Final answer
    x = 106,829.36

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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.