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Finding the Fourth Proportional to 116,496, 174,699.60 and 41,602.16

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Solution

The fourth proportional to 116,496, 174,699.60 and 41,602.16 is: 62,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,496 : 174,699.60 = 41,602.16 : x
  2. Step 2: Convert to fraction form
    116,496/174,699.60 = 41,602.16/x
  3. Step 3: Cross multiply
    116,496x = 174,699.60 × 41,602.16
  4. Step 4: Simplify right side
    116,496x = 7,267,880,711.14
  5. Step 5: Solve for x
    x = 7,267,880,711.14/116,496
  6. Step 6: Final answer
    x = 62,387.38

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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.