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Finding the Fourth Proportional to 194,688, 292,063.59 and 76,295.16

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Solution

The fourth proportional to 194,688, 292,063.59 and 76,295.16 is: 114,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,688 : 292,063.59 = 76,295.16 : x
  2. Step 2: Convert to fraction form
    194,688/292,063.59 = 76,295.16/x
  3. Step 3: Cross multiply
    194,688x = 292,063.59 × 76,295.16
  4. Step 4: Simplify right side
    194,688x = 22,283,038,329.22
  5. Step 5: Solve for x
    x = 22,283,038,329.22/194,688
  6. Step 6: Final answer
    x = 114,455.12

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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.