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Finding the Fourth Proportional to 219,325.16, 328,989.66 and 53,113.32

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Solution

The fourth proportional to 219,325.16, 328,989.66 and 53,113.32 is: 79,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,325.16 : 328,989.66 = 53,113.32 : x
  2. Step 2: Convert to fraction form
    219,325.16/328,989.66 = 53,113.32/x
  3. Step 3: Cross multiply
    219,325.16x = 328,989.66 × 53,113.32
  4. Step 4: Simplify right side
    219,325.16x = 17,473,733,088.27
  5. Step 5: Solve for x
    x = 17,473,733,088.27/219,325.16
  6. Step 6: Final answer
    x = 79,670.44

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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.