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Finding the Fourth Proportional to 230,312.16, 317,831.40 and 133,534.77

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Solution

The fourth proportional to 230,312.16, 317,831.40 and 133,534.77 is: 184,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,312.16 : 317,831.40 = 133,534.77 : x
  2. Step 2: Convert to fraction form
    230,312.16/317,831.40 = 133,534.77/x
  3. Step 3: Cross multiply
    230,312.16x = 317,831.40 × 133,534.77
  4. Step 4: Simplify right side
    230,312.16x = 42,441,542,897.78
  5. Step 5: Solve for x
    x = 42,441,542,897.78/230,312.16
  6. Step 6: Final answer
    x = 184,278.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.