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Finding the Fourth Proportional to 316,094.99, 474,044.07 and 105,683.72

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Solution

The fourth proportional to 316,094.99, 474,044.07 and 105,683.72 is: 158,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,094.99 : 474,044.07 = 105,683.72 : x
  2. Step 2: Convert to fraction form
    316,094.99/474,044.07 = 105,683.72/x
  3. Step 3: Cross multiply
    316,094.99x = 474,044.07 × 105,683.72
  4. Step 4: Simplify right side
    316,094.99x = 50,098,738,391.32
  5. Step 5: Solve for x
    x = 50,098,738,391.32/316,094.99
  6. Step 6: Final answer
    x = 158,492.67

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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.