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Finding the Fourth Proportional to 152,271.08, 210,130.76 and 83,360.38

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Solution

The fourth proportional to 152,271.08, 210,130.76 and 83,360.38 is: 115,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,271.08 : 210,130.76 = 83,360.38 : x
  2. Step 2: Convert to fraction form
    152,271.08/210,130.76 = 83,360.38/x
  3. Step 3: Cross multiply
    152,271.08x = 210,130.76 × 83,360.38
  4. Step 4: Simplify right side
    152,271.08x = 17,516,580,003.29
  5. Step 5: Solve for x
    x = 17,516,580,003.29/152,271.08
  6. Step 6: Final answer
    x = 115,035.50

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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.