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Finding the Fourth Proportional to 238,165.40, 357,075.30 and 97,851.80

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Solution

The fourth proportional to 238,165.40, 357,075.30 and 97,851.80 is: 146,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,165.40 : 357,075.30 = 97,851.80 : x
  2. Step 2: Convert to fraction form
    238,165.40/357,075.30 = 97,851.80/x
  3. Step 3: Cross multiply
    238,165.40x = 357,075.30 × 97,851.80
  4. Step 4: Simplify right side
    238,165.40x = 34,940,460,840.54
  5. Step 5: Solve for x
    x = 34,940,460,840.54/238,165.40
  6. Step 6: Final answer
    x = 146,706.70

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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.