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Finding the Fourth Proportional to 219,358, 329,038.80 and 53,146

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Solution

The fourth proportional to 219,358, 329,038.80 and 53,146 is: 79,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,358 : 329,038.80 = 53,146 : x
  2. Step 2: Convert to fraction form
    219,358/329,038.80 = 53,146/x
  3. Step 3: Cross multiply
    219,358x = 329,038.80 × 53,146
  4. Step 4: Simplify right side
    219,358x = 17,487,096,064.80
  5. Step 5: Solve for x
    x = 17,487,096,064.80/219,358
  6. Step 6: Final answer
    x = 79,719.44

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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.