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Finding the Fourth Proportional to 201,698.90, 302,548.35 and 170,206.10

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Solution

The fourth proportional to 201,698.90, 302,548.35 and 170,206.10 is: 255,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.90 : 302,548.35 = 170,206.10 : x
  2. Step 2: Convert to fraction form
    201,698.90/302,548.35 = 170,206.10/x
  3. Step 3: Cross multiply
    201,698.90x = 302,548.35 × 170,206.10
  4. Step 4: Simplify right side
    201,698.90x = 51,495,574,714.94
  5. Step 5: Solve for x
    x = 51,495,574,714.94/201,698.90
  6. Step 6: Final answer
    x = 255,309.15

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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.