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Finding the Fourth Proportional to 157,514.84, 235,268.21 and 142,498.92

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Solution

The fourth proportional to 157,514.84, 235,268.21 and 142,498.92 is: 212,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,514.84 : 235,268.21 = 142,498.92 : x
  2. Step 2: Convert to fraction form
    157,514.84/235,268.21 = 142,498.92/x
  3. Step 3: Cross multiply
    157,514.84x = 235,268.21 × 142,498.92
  4. Step 4: Simplify right side
    157,514.84x = 33,525,465,835.33
  5. Step 5: Solve for x
    x = 33,525,465,835.33/157,514.84
  6. Step 6: Final answer
    x = 212,840.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.