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Finding the Fourth Proportional to 191,810.71, 287,455.69 and 101,830.69

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Solution

The fourth proportional to 191,810.71, 287,455.69 and 101,830.69 is: 152,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,810.71 : 287,455.69 = 101,830.69 : x
  2. Step 2: Convert to fraction form
    191,810.71/287,455.69 = 101,830.69/x
  3. Step 3: Cross multiply
    191,810.71x = 287,455.69 × 101,830.69
  4. Step 4: Simplify right side
    191,810.71x = 29,271,811,257.13
  5. Step 5: Solve for x
    x = 29,271,811,257.13/191,810.71
  6. Step 6: Final answer
    x = 152,607.80

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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.