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Finding the Fourth Proportional to 364,075.98, 546,113.49 and 97,836.49

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Solution

The fourth proportional to 364,075.98, 546,113.49 and 97,836.49 is: 146,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,075.98 : 546,113.49 = 97,836.49 : x
  2. Step 2: Convert to fraction form
    364,075.98/546,113.49 = 97,836.49/x
  3. Step 3: Cross multiply
    364,075.98x = 546,113.49 × 97,836.49
  4. Step 4: Simplify right side
    364,075.98x = 53,429,827,319.01
  5. Step 5: Solve for x
    x = 53,429,827,319.01/364,075.98
  6. Step 6: Final answer
    x = 146,754.61

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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.