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Finding the Fourth Proportional to 128,935.40, 193,403.10 and 97,831.40

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Solution

The fourth proportional to 128,935.40, 193,403.10 and 97,831.40 is: 146,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,935.40 : 193,403.10 = 97,831.40 : x
  2. Step 2: Convert to fraction form
    128,935.40/193,403.10 = 97,831.40/x
  3. Step 3: Cross multiply
    128,935.40x = 193,403.10 × 97,831.40
  4. Step 4: Simplify right side
    128,935.40x = 18,920,896,037.34
  5. Step 5: Solve for x
    x = 18,920,896,037.34/128,935.40
  6. Step 6: Final answer
    x = 146,747.10

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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.