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Finding the Fourth Proportional to 145,946.50, 201,406.20 and 78,878.50

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Solution

The fourth proportional to 145,946.50, 201,406.20 and 78,878.50 is: 108,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,946.50 : 201,406.20 = 78,878.50 : x
  2. Step 2: Convert to fraction form
    145,946.50/201,406.20 = 78,878.50/x
  3. Step 3: Cross multiply
    145,946.50x = 201,406.20 × 78,878.50
  4. Step 4: Simplify right side
    145,946.50x = 15,886,618,946.70
  5. Step 5: Solve for x
    x = 15,886,618,946.70/145,946.50
  6. Step 6: Final answer
    x = 108,852.35

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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.