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Finding the Fourth Proportional to 153,764.45, 230,663.06 and 65,026.92

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Solution

The fourth proportional to 153,764.45, 230,663.06 and 65,026.92 is: 97,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,764.45 : 230,663.06 = 65,026.92 : x
  2. Step 2: Convert to fraction form
    153,764.45/230,663.06 = 65,026.92/x
  3. Step 3: Cross multiply
    153,764.45x = 230,663.06 × 65,026.92
  4. Step 4: Simplify right side
    153,764.45x = 14,999,308,024.44
  5. Step 5: Solve for x
    x = 14,999,308,024.44/153,764.45
  6. Step 6: Final answer
    x = 97,547.31

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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.