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Finding the Fourth Proportional to 191,056.64, 286,211.27 and 157,371.02

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Solution

The fourth proportional to 191,056.64, 286,211.27 and 157,371.02 is: 235,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,056.64 : 286,211.27 = 157,371.02 : x
  2. Step 2: Convert to fraction form
    191,056.64/286,211.27 = 157,371.02/x
  3. Step 3: Cross multiply
    191,056.64x = 286,211.27 × 157,371.02
  4. Step 4: Simplify right side
    191,056.64x = 45,041,357,277.48
  5. Step 5: Solve for x
    x = 45,041,357,277.48/191,056.64
  6. Step 6: Final answer
    x = 235,748.72

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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.