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Finding the Fourth Proportional to 145,975.52, 218,996.04 and 46,141.52

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Solution

The fourth proportional to 145,975.52, 218,996.04 and 46,141.52 is: 69,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,975.52 : 218,996.04 = 46,141.52 : x
  2. Step 2: Convert to fraction form
    145,975.52/218,996.04 = 46,141.52/x
  3. Step 3: Cross multiply
    145,975.52x = 218,996.04 × 46,141.52
  4. Step 4: Simplify right side
    145,975.52x = 10,104,810,159.58
  5. Step 5: Solve for x
    x = 10,104,810,159.58/145,975.52
  6. Step 6: Final answer
    x = 69,222.64

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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.