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Finding the Fourth Proportional to 102,570.48, 153,798.01 and 70,587.12

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Solution

The fourth proportional to 102,570.48, 153,798.01 and 70,587.12 is: 105,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,570.48 : 153,798.01 = 70,587.12 : x
  2. Step 2: Convert to fraction form
    102,570.48/153,798.01 = 70,587.12/x
  3. Step 3: Cross multiply
    102,570.48x = 153,798.01 × 70,587.12
  4. Step 4: Simplify right side
    102,570.48x = 10,856,158,987.91
  5. Step 5: Solve for x
    x = 10,856,158,987.91/102,570.48
  6. Step 6: Final answer
    x = 105,840.97

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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.