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Finding the Fourth Proportional to 209,463.48, 314,147.88 and 59,700.54

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Solution

The fourth proportional to 209,463.48, 314,147.88 and 59,700.54 is: 89,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463.48 : 314,147.88 = 59,700.54 : x
  2. Step 2: Convert to fraction form
    209,463.48/314,147.88 = 59,700.54/x
  3. Step 3: Cross multiply
    209,463.48x = 314,147.88 × 59,700.54
  4. Step 4: Simplify right side
    209,463.48x = 18,754,798,075.86
  5. Step 5: Solve for x
    x = 18,754,798,075.86/209,463.48
  6. Step 6: Final answer
    x = 89,537.32

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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.