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Finding the Fourth Proportional to 105,060.10, 157,480.80 and 57,602.20

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Solution

The fourth proportional to 105,060.10, 157,480.80 and 57,602.20 is: 86,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,060.10 : 157,480.80 = 57,602.20 : x
  2. Step 2: Convert to fraction form
    105,060.10/157,480.80 = 57,602.20/x
  3. Step 3: Cross multiply
    105,060.10x = 157,480.80 × 57,602.20
  4. Step 4: Simplify right side
    105,060.10x = 9,071,240,537.76
  5. Step 5: Solve for x
    x = 9,071,240,537.76/105,060.10
  6. Step 6: Final answer
    x = 86,343.35

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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.