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Finding the Fourth Proportional to 219,722.35, 329,583.53 and 101,358.67

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Solution

The fourth proportional to 219,722.35, 329,583.53 and 101,358.67 is: 152,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,722.35 : 329,583.53 = 101,358.67 : x
  2. Step 2: Convert to fraction form
    219,722.35/329,583.53 = 101,358.67/x
  3. Step 3: Cross multiply
    219,722.35x = 329,583.53 × 101,358.67
  4. Step 4: Simplify right side
    219,722.35x = 33,406,148,254.71
  5. Step 5: Solve for x
    x = 33,406,148,254.71/219,722.35
  6. Step 6: Final answer
    x = 152,038.01

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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.