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Finding the Fourth Proportional to 253,307.16, 349,567.56 and 145,896.48

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Solution

The fourth proportional to 253,307.16, 349,567.56 and 145,896.48 is: 201,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,307.16 : 349,567.56 = 145,896.48 : x
  2. Step 2: Convert to fraction form
    253,307.16/349,567.56 = 145,896.48/x
  3. Step 3: Cross multiply
    253,307.16x = 349,567.56 × 145,896.48
  4. Step 4: Simplify right side
    253,307.16x = 51,000,676,526.19
  5. Step 5: Solve for x
    x = 51,000,676,526.19/253,307.16
  6. Step 6: Final answer
    x = 201,339.26

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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.