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Finding the Fourth Proportional to 102,253.93, 153,417.80 and 35,703.86

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Solution

The fourth proportional to 102,253.93, 153,417.80 and 35,703.86 is: 53,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,253.93 : 153,417.80 = 35,703.86 : x
  2. Step 2: Convert to fraction form
    102,253.93/153,417.80 = 35,703.86/x
  3. Step 3: Cross multiply
    102,253.93x = 153,417.80 × 35,703.86
  4. Step 4: Simplify right side
    102,253.93x = 5,477,608,125.51
  5. Step 5: Solve for x
    x = 5,477,608,125.51/102,253.93
  6. Step 6: Final answer
    x = 53,568.68

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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.