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Finding the Fourth Proportional to 102,452.16, 153,683.04 and 49,798.88

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Solution

The fourth proportional to 102,452.16, 153,683.04 and 49,798.88 is: 74,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,452.16 : 153,683.04 = 49,798.88 : x
  2. Step 2: Convert to fraction form
    102,452.16/153,683.04 = 49,798.88/x
  3. Step 3: Cross multiply
    102,452.16x = 153,683.04 × 49,798.88
  4. Step 4: Simplify right side
    102,452.16x = 7,653,243,267.00
  5. Step 5: Solve for x
    x = 7,653,243,267.00/102,452.16
  6. Step 6: Final answer
    x = 74,700.65

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1.5x scale

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.