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Finding the Fourth Proportional to 306,447.10, 459,670.65 and 96,101.44

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Solution

The fourth proportional to 306,447.10, 459,670.65 and 96,101.44 is: 144,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,447.10 : 459,670.65 = 96,101.44 : x
  2. Step 2: Convert to fraction form
    306,447.10/459,670.65 = 96,101.44/x
  3. Step 3: Cross multiply
    306,447.10x = 459,670.65 × 96,101.44
  4. Step 4: Simplify right side
    306,447.10x = 44,175,009,881.18
  5. Step 5: Solve for x
    x = 44,175,009,881.18/306,447.10
  6. Step 6: Final answer
    x = 144,152.16

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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.