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Finding the Fourth Proportional to 201,502.19, 302,004.16 and 101,690.93

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Solution

The fourth proportional to 201,502.19, 302,004.16 and 101,690.93 is: 152,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,502.19 : 302,004.16 = 101,690.93 : x
  2. Step 2: Convert to fraction form
    201,502.19/302,004.16 = 101,690.93/x
  3. Step 3: Cross multiply
    201,502.19x = 302,004.16 × 101,690.93
  4. Step 4: Simplify right side
    201,502.19x = 30,711,083,894.27
  5. Step 5: Solve for x
    x = 30,711,083,894.27/201,502.19
  6. Step 6: Final answer
    x = 152,410.67

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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.