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Finding the Fourth Proportional to 153,681, 212,083.53 and 85,697.31

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Solution

The fourth proportional to 153,681, 212,083.53 and 85,697.31 is: 118,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,681 : 212,083.53 = 85,697.31 : x
  2. Step 2: Convert to fraction form
    153,681/212,083.53 = 85,697.31/x
  3. Step 3: Cross multiply
    153,681x = 212,083.53 × 85,697.31
  4. Step 4: Simplify right side
    153,681x = 18,174,988,016.30
  5. Step 5: Solve for x
    x = 18,174,988,016.30/153,681
  6. Step 6: Final answer
    x = 118,264.38

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1.5x scale

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.