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Finding the Fourth Proportional to 103,698.10, 155,547.15 and 64,299.70

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Solution

The fourth proportional to 103,698.10, 155,547.15 and 64,299.70 is: 96,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.10 : 155,547.15 = 64,299.70 : x
  2. Step 2: Convert to fraction form
    103,698.10/155,547.15 = 64,299.70/x
  3. Step 3: Cross multiply
    103,698.10x = 155,547.15 × 64,299.70
  4. Step 4: Simplify right side
    103,698.10x = 10,001,635,080.86
  5. Step 5: Solve for x
    x = 10,001,635,080.86/103,698.10
  6. Step 6: Final answer
    x = 96,449.55

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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.