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Finding the Fourth Proportional to 253,489.04, 349,851.72 and 146,038.16

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Solution

The fourth proportional to 253,489.04, 349,851.72 and 146,038.16 is: 201,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,489.04 : 349,851.72 = 146,038.16 : x
  2. Step 2: Convert to fraction form
    253,489.04/349,851.72 = 146,038.16/x
  3. Step 3: Cross multiply
    253,489.04x = 349,851.72 × 146,038.16
  4. Step 4: Simplify right side
    253,489.04x = 51,091,701,461.64
  5. Step 5: Solve for x
    x = 51,091,701,461.64/253,489.04
  6. Step 6: Final answer
    x = 201,553.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.