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Finding the Fourth Proportional to 224,642.64, 336,962.60 and 56,162.16

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Solution

The fourth proportional to 224,642.64, 336,962.60 and 56,162.16 is: 84,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,642.64 : 336,962.60 = 56,162.16 : x
  2. Step 2: Convert to fraction form
    224,642.64/336,962.60 = 56,162.16/x
  3. Step 3: Cross multiply
    224,642.64x = 336,962.60 × 56,162.16
  4. Step 4: Simplify right side
    224,642.64x = 18,924,547,455.22
  5. Step 5: Solve for x
    x = 18,924,547,455.22/224,642.64
  6. Step 6: Final answer
    x = 84,242.90

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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.