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Finding the Fourth Proportional to 169,486.14, 254,129.53 and 64,312.50

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Solution

The fourth proportional to 169,486.14, 254,129.53 and 64,312.50 is: 96,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,486.14 : 254,129.53 = 64,312.50 : x
  2. Step 2: Convert to fraction form
    169,486.14/254,129.53 = 64,312.50/x
  3. Step 3: Cross multiply
    169,486.14x = 254,129.53 × 64,312.50
  4. Step 4: Simplify right side
    169,486.14x = 16,343,705,398.13
  5. Step 5: Solve for x
    x = 16,343,705,398.13/169,486.14
  6. Step 6: Final answer
    x = 96,430.93

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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.