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Finding the Fourth Proportional to 175,901.80, 242,611.66 and 110,509.64

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Solution

The fourth proportional to 175,901.80, 242,611.66 and 110,509.64 is: 152,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,901.80 : 242,611.66 = 110,509.64 : x
  2. Step 2: Convert to fraction form
    175,901.80/242,611.66 = 110,509.64/x
  3. Step 3: Cross multiply
    175,901.80x = 242,611.66 × 110,509.64
  4. Step 4: Simplify right side
    175,901.80x = 26,810,927,206.40
  5. Step 5: Solve for x
    x = 26,810,927,206.40/175,901.80
  6. Step 6: Final answer
    x = 152,419.86

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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.