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Finding the Fourth Proportional to 185,948, 256,603.32 and 105,373.52

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Solution

The fourth proportional to 185,948, 256,603.32 and 105,373.52 is: 145,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,948 : 256,603.32 = 105,373.52 : x
  2. Step 2: Convert to fraction form
    185,948/256,603.32 = 105,373.52/x
  3. Step 3: Cross multiply
    185,948x = 256,603.32 × 105,373.52
  4. Step 4: Simplify right side
    185,948x = 27,039,195,072.09
  5. Step 5: Solve for x
    x = 27,039,195,072.09/185,948
  6. Step 6: Final answer
    x = 145,412.67

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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.