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Finding the Fourth Proportional to 238,365, 357,547.50 and 88,642.98

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Solution

The fourth proportional to 238,365, 357,547.50 and 88,642.98 is: 132,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,365 : 357,547.50 = 88,642.98 : x
  2. Step 2: Convert to fraction form
    238,365/357,547.50 = 88,642.98/x
  3. Step 3: Cross multiply
    238,365x = 357,547.50 × 88,642.98
  4. Step 4: Simplify right side
    238,365x = 31,694,075,891.55
  5. Step 5: Solve for x
    x = 31,694,075,891.55/238,365
  6. Step 6: Final answer
    x = 132,964.47

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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.