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Finding the Fourth Proportional to 201,865.70, 302,798.55 and 148,988.90

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Solution

The fourth proportional to 201,865.70, 302,798.55 and 148,988.90 is: 223,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865.70 : 302,798.55 = 148,988.90 : x
  2. Step 2: Convert to fraction form
    201,865.70/302,798.55 = 148,988.90/x
  3. Step 3: Cross multiply
    201,865.70x = 302,798.55 × 148,988.90
  4. Step 4: Simplify right side
    201,865.70x = 45,113,622,886.10
  5. Step 5: Solve for x
    x = 45,113,622,886.10/201,865.70
  6. Step 6: Final answer
    x = 223,483.35

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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.