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Finding the Fourth Proportional to 191,853.34, 287,779.80 and 51,611.96

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Solution

The fourth proportional to 191,853.34, 287,779.80 and 51,611.96 is: 77,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,853.34 : 287,779.80 = 51,611.96 : x
  2. Step 2: Convert to fraction form
    191,853.34/287,779.80 = 51,611.96/x
  3. Step 3: Cross multiply
    191,853.34x = 287,779.80 × 51,611.96
  4. Step 4: Simplify right side
    191,853.34x = 14,852,879,526.41
  5. Step 5: Solve for x
    x = 14,852,879,526.41/191,853.34
  6. Step 6: Final answer
    x = 77,417.88

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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.