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Finding the Fourth Proportional to 208,339.66, 312,509.58 and 58,595.86

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Solution

The fourth proportional to 208,339.66, 312,509.58 and 58,595.86 is: 87,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,339.66 : 312,509.58 = 58,595.86 : x
  2. Step 2: Convert to fraction form
    208,339.66/312,509.58 = 58,595.86/x
  3. Step 3: Cross multiply
    208,339.66x = 312,509.58 × 58,595.86
  4. Step 4: Simplify right side
    208,339.66x = 18,311,767,598.34
  5. Step 5: Solve for x
    x = 18,311,767,598.34/208,339.66
  6. Step 6: Final answer
    x = 87,893.82

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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.