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Finding the Fourth Proportional to 153,482.83, 230,255.49 and 64,736.66

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Solution

The fourth proportional to 153,482.83, 230,255.49 and 64,736.66 is: 97,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,482.83 : 230,255.49 = 64,736.66 : x
  2. Step 2: Convert to fraction form
    153,482.83/230,255.49 = 64,736.66/x
  3. Step 3: Cross multiply
    153,482.83x = 230,255.49 × 64,736.66
  4. Step 4: Simplify right side
    153,482.83x = 14,905,971,369.26
  5. Step 5: Solve for x
    x = 14,905,971,369.26/153,482.83
  6. Step 6: Final answer
    x = 97,118.17

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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.