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Finding the Fourth Proportional to 117,106.38, 175,551.93 and 42,208.20

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Solution

The fourth proportional to 117,106.38, 175,551.93 and 42,208.20 is: 63,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,106.38 : 175,551.93 = 42,208.20 : x
  2. Step 2: Convert to fraction form
    117,106.38/175,551.93 = 42,208.20/x
  3. Step 3: Cross multiply
    117,106.38x = 175,551.93 × 42,208.20
  4. Step 4: Simplify right side
    117,106.38x = 7,409,730,971.83
  5. Step 5: Solve for x
    x = 7,409,730,971.83/117,106.38
  6. Step 6: Final answer
    x = 63,273.50

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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.