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Finding the Fourth Proportional to 97,765.52, 146,041.74 and 70,898.24

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Solution

The fourth proportional to 97,765.52, 146,041.74 and 70,898.24 is: 105,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.52 : 146,041.74 = 70,898.24 : x
  2. Step 2: Convert to fraction form
    97,765.52/146,041.74 = 70,898.24/x
  3. Step 3: Cross multiply
    97,765.52x = 146,041.74 × 70,898.24
  4. Step 4: Simplify right side
    97,765.52x = 10,354,102,332.54
  5. Step 5: Solve for x
    x = 10,354,102,332.54/97,765.52
  6. Step 6: Final answer
    x = 105,907.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.