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Finding the Fourth Proportional to 284,579.64, 426,886.16 and 107,088.16

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Solution

The fourth proportional to 284,579.64, 426,886.16 and 107,088.16 is: 160,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,579.64 : 426,886.16 = 107,088.16 : x
  2. Step 2: Convert to fraction form
    284,579.64/426,886.16 = 107,088.16/x
  3. Step 3: Cross multiply
    284,579.64x = 426,886.16 × 107,088.16
  4. Step 4: Simplify right side
    284,579.64x = 45,714,453,403.87
  5. Step 5: Solve for x
    x = 45,714,453,403.87/284,579.64
  6. Step 6: Final answer
    x = 160,638.52

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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.