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Finding the Fourth Proportional to 208,295.34, 312,455.15 and 58,547.29

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Solution

The fourth proportional to 208,295.34, 312,455.15 and 58,547.29 is: 87,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,295.34 : 312,455.15 = 58,547.29 : x
  2. Step 2: Convert to fraction form
    208,295.34/312,455.15 = 58,547.29/x
  3. Step 3: Cross multiply
    208,295.34x = 312,455.15 × 58,547.29
  4. Step 4: Simplify right side
    208,295.34x = 18,293,402,279.04
  5. Step 5: Solve for x
    x = 18,293,402,279.04/208,295.34
  6. Step 6: Final answer
    x = 87,824.35

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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.