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Finding the Fourth Proportional to 306,512.64, 459,827.28 and 96,094.08

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Solution

The fourth proportional to 306,512.64, 459,827.28 and 96,094.08 is: 144,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,512.64 : 459,827.28 = 96,094.08 : x
  2. Step 2: Convert to fraction form
    306,512.64/459,827.28 = 96,094.08/x
  3. Step 3: Cross multiply
    306,512.64x = 459,827.28 × 96,094.08
  4. Step 4: Simplify right side
    306,512.64x = 44,186,679,430.50
  5. Step 5: Solve for x
    x = 44,186,679,430.50/306,512.64
  6. Step 6: Final answer
    x = 144,159.40

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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.