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Finding the Fourth Proportional to 357,826.56, 536,656.76 and 105,039.16

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Solution

The fourth proportional to 357,826.56, 536,656.76 and 105,039.16 is: 157,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,826.56 : 536,656.76 = 105,039.16 : x
  2. Step 2: Convert to fraction form
    357,826.56/536,656.76 = 105,039.16/x
  3. Step 3: Cross multiply
    357,826.56x = 536,656.76 × 105,039.16
  4. Step 4: Simplify right side
    357,826.56x = 56,369,975,278.72
  5. Step 5: Solve for x
    x = 56,369,975,278.72/357,826.56
  6. Step 6: Final answer
    x = 157,534.35

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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.