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Finding the Fourth Proportional to 215,852.70, 323,681.85 and 97,463.10

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Solution

The fourth proportional to 215,852.70, 323,681.85 and 97,463.10 is: 146,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,852.70 : 323,681.85 = 97,463.10 : x
  2. Step 2: Convert to fraction form
    215,852.70/323,681.85 = 97,463.10/x
  3. Step 3: Cross multiply
    215,852.70x = 323,681.85 × 97,463.10
  4. Step 4: Simplify right side
    215,852.70x = 31,547,036,514.74
  5. Step 5: Solve for x
    x = 31,547,036,514.74/215,852.70
  6. Step 6: Final answer
    x = 146,150.76

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1.5x scale

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.