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Finding the Fourth Proportional to 153,594.60, 230,403.60 and 52,361.22

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Solution

The fourth proportional to 153,594.60, 230,403.60 and 52,361.22 is: 78,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,594.60 : 230,403.60 = 52,361.22 : x
  2. Step 2: Convert to fraction form
    153,594.60/230,403.60 = 52,361.22/x
  3. Step 3: Cross multiply
    153,594.60x = 230,403.60 × 52,361.22
  4. Step 4: Simplify right side
    153,594.60x = 12,064,213,588.39
  5. Step 5: Solve for x
    x = 12,064,213,588.39/153,594.60
  6. Step 6: Final answer
    x = 78,545.82

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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.