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Finding the Fourth Proportional to 194,508.86, 291,646.58 and 76,038.98

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Solution

The fourth proportional to 194,508.86, 291,646.58 and 76,038.98 is: 114,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,508.86 : 291,646.58 = 76,038.98 : x
  2. Step 2: Convert to fraction form
    194,508.86/291,646.58 = 76,038.98/x
  3. Step 3: Cross multiply
    194,508.86x = 291,646.58 × 76,038.98
  4. Step 4: Simplify right side
    194,508.86x = 22,176,508,463.69
  5. Step 5: Solve for x
    x = 22,176,508,463.69/194,508.86
  6. Step 6: Final answer
    x = 114,012.84

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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.