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Finding the Fourth Proportional to 225,002.50, 310,509.93 and 124,406.98

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Solution

The fourth proportional to 225,002.50, 310,509.93 and 124,406.98 is: 171,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,002.50 : 310,509.93 = 124,406.98 : x
  2. Step 2: Convert to fraction form
    225,002.50/310,509.93 = 124,406.98/x
  3. Step 3: Cross multiply
    225,002.50x = 310,509.93 × 124,406.98
  4. Step 4: Simplify right side
    225,002.50x = 38,629,602,651.31
  5. Step 5: Solve for x
    x = 38,629,602,651.31/225,002.50
  6. Step 6: Final answer
    x = 171,685.22

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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.