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Finding the Fourth Proportional to 191,301.60, 286,822.80 and 97,730.40

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Solution

The fourth proportional to 191,301.60, 286,822.80 and 97,730.40 is: 146,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,301.60 : 286,822.80 = 97,730.40 : x
  2. Step 2: Convert to fraction form
    191,301.60/286,822.80 = 97,730.40/x
  3. Step 3: Cross multiply
    191,301.60x = 286,822.80 × 97,730.40
  4. Step 4: Simplify right side
    191,301.60x = 28,031,306,973.12
  5. Step 5: Solve for x
    x = 28,031,306,973.12/191,301.60
  6. Step 6: Final answer
    x = 146,529.39

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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.