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Finding the Fourth Proportional to 148,681.51, 222,903.32 and 77,568.46

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Solution

The fourth proportional to 148,681.51, 222,903.32 and 77,568.46 is: 116,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,681.51 : 222,903.32 = 77,568.46 : x
  2. Step 2: Convert to fraction form
    148,681.51/222,903.32 = 77,568.46/x
  3. Step 3: Cross multiply
    148,681.51x = 222,903.32 × 77,568.46
  4. Step 4: Simplify right side
    148,681.51x = 17,290,267,261.29
  5. Step 5: Solve for x
    x = 17,290,267,261.29/148,681.51
  6. Step 6: Final answer
    x = 116,290.64

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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.