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Finding the Fourth Proportional to 102,157.34, 153,188.69 and 56,534.36

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Solution

The fourth proportional to 102,157.34, 153,188.69 and 56,534.36 is: 84,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157.34 : 153,188.69 = 56,534.36 : x
  2. Step 2: Convert to fraction form
    102,157.34/153,188.69 = 56,534.36/x
  3. Step 3: Cross multiply
    102,157.34x = 153,188.69 × 56,534.36
  4. Step 4: Simplify right side
    102,157.34x = 8,660,423,499.77
  5. Step 5: Solve for x
    x = 8,660,423,499.77/102,157.34
  6. Step 6: Final answer
    x = 84,775.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.