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Finding the Fourth Proportional to 233,145.86, 349,681.52 and 83,358.23

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Solution

The fourth proportional to 233,145.86, 349,681.52 and 83,358.23 is: 125,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,145.86 : 349,681.52 = 83,358.23 : x
  2. Step 2: Convert to fraction form
    233,145.86/349,681.52 = 83,358.23/x
  3. Step 3: Cross multiply
    233,145.86x = 349,681.52 × 83,358.23
  4. Step 4: Simplify right side
    233,145.86x = 29,148,831,030.90
  5. Step 5: Solve for x
    x = 29,148,831,030.90/233,145.86
  6. Step 6: Final answer
    x = 125,024.02

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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.