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Finding the Fourth Proportional to 157,383.42, 235,903.32 and 77,476.38

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Solution

The fourth proportional to 157,383.42, 235,903.32 and 77,476.38 is: 116,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,383.42 : 235,903.32 = 77,476.38 : x
  2. Step 2: Convert to fraction form
    157,383.42/235,903.32 = 77,476.38/x
  3. Step 3: Cross multiply
    157,383.42x = 235,903.32 × 77,476.38
  4. Step 4: Simplify right side
    157,383.42x = 18,276,935,263.58
  5. Step 5: Solve for x
    x = 18,276,935,263.58/157,383.42
  6. Step 6: Final answer
    x = 116,129.99

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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.