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Finding the Fourth Proportional to 201,291.30, 302,066.55 and 117,051.30

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Solution

The fourth proportional to 201,291.30, 302,066.55 and 117,051.30 is: 175,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,291.30 : 302,066.55 = 117,051.30 : x
  2. Step 2: Convert to fraction form
    201,291.30/302,066.55 = 117,051.30/x
  3. Step 3: Cross multiply
    201,291.30x = 302,066.55 × 117,051.30
  4. Step 4: Simplify right side
    201,291.30x = 35,357,282,364.02
  5. Step 5: Solve for x
    x = 35,357,282,364.02/201,291.30
  6. Step 6: Final answer
    x = 175,652.31

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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.