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Finding the Fourth Proportional to 145,890.72, 201,329.16 and 78,822.72

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Solution

The fourth proportional to 145,890.72, 201,329.16 and 78,822.72 is: 108,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,890.72 : 201,329.16 = 78,822.72 : x
  2. Step 2: Convert to fraction form
    145,890.72/201,329.16 = 78,822.72/x
  3. Step 3: Cross multiply
    145,890.72x = 201,329.16 × 78,822.72
  4. Step 4: Simplify right side
    145,890.72x = 15,869,312,006.52
  5. Step 5: Solve for x
    x = 15,869,312,006.52/145,890.72
  6. Step 6: Final answer
    x = 108,775.34

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