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Finding the Fourth Proportional to 208,657, 313,045.98 and 60,913

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Solution

The fourth proportional to 208,657, 313,045.98 and 60,913 is: 91,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,657 : 313,045.98 = 60,913 : x
  2. Step 2: Convert to fraction form
    208,657/313,045.98 = 60,913/x
  3. Step 3: Cross multiply
    208,657x = 313,045.98 × 60,913
  4. Step 4: Simplify right side
    208,657x = 19,068,569,779.74
  5. Step 5: Solve for x
    x = 19,068,569,779.74/208,657
  6. Step 6: Final answer
    x = 91,387.16

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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.