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Finding the Fourth Proportional to 153,209.84, 229,814.82 and 48,037.01

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Solution

The fourth proportional to 153,209.84, 229,814.82 and 48,037.01 is: 72,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,209.84 : 229,814.82 = 48,037.01 : x
  2. Step 2: Convert to fraction form
    153,209.84/229,814.82 = 48,037.01/x
  3. Step 3: Cross multiply
    153,209.84x = 229,814.82 × 48,037.01
  4. Step 4: Simplify right side
    153,209.84x = 11,039,615,657.41
  5. Step 5: Solve for x
    x = 11,039,615,657.41/153,209.84
  6. Step 6: Final answer
    x = 72,055.53

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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.