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Finding the Fourth Proportional to 145,893.63, 201,333.21 and 78,825.63

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Solution

The fourth proportional to 145,893.63, 201,333.21 and 78,825.63 is: 108,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.63 : 201,333.21 = 78,825.63 : x
  2. Step 2: Convert to fraction form
    145,893.63/201,333.21 = 78,825.63/x
  3. Step 3: Cross multiply
    145,893.63x = 201,333.21 × 78,825.63
  4. Step 4: Simplify right side
    145,893.63x = 15,870,217,118.17
  5. Step 5: Solve for x
    x = 15,870,217,118.17/145,893.63
  6. Step 6: Final answer
    x = 108,779.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.