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Finding the Fourth Proportional to 210,037.72, 314,929.32 and 83,697.16

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Solution

The fourth proportional to 210,037.72, 314,929.32 and 83,697.16 is: 125,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037.72 : 314,929.32 = 83,697.16 : x
  2. Step 2: Convert to fraction form
    210,037.72/314,929.32 = 83,697.16/x
  3. Step 3: Cross multiply
    210,037.72x = 314,929.32 × 83,697.16
  4. Step 4: Simplify right side
    210,037.72x = 26,358,689,684.73
  5. Step 5: Solve for x
    x = 26,358,689,684.73/210,037.72
  6. Step 6: Final answer
    x = 125,495.03

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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.