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Finding the Fourth Proportional to 310,225.31, 465,233.32 and 118,054.13

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Solution

The fourth proportional to 310,225.31, 465,233.32 and 118,054.13 is: 177,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,225.31 : 465,233.32 = 118,054.13 : x
  2. Step 2: Convert to fraction form
    310,225.31/465,233.32 = 118,054.13/x
  3. Step 3: Cross multiply
    310,225.31x = 465,233.32 × 118,054.13
  4. Step 4: Simplify right side
    310,225.31x = 54,922,712,661.01
  5. Step 5: Solve for x
    x = 54,922,712,661.01/310,225.31
  6. Step 6: Final answer
    x = 177,041.37

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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.