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Finding the Fourth Proportional to 223,520.38, 308,461.80 and 121,547.86

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Solution

The fourth proportional to 223,520.38, 308,461.80 and 121,547.86 is: 167,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,520.38 : 308,461.80 = 121,547.86 : x
  2. Step 2: Convert to fraction form
    223,520.38/308,461.80 = 121,547.86/x
  3. Step 3: Cross multiply
    223,520.38x = 308,461.80 × 121,547.86
  4. Step 4: Simplify right side
    223,520.38x = 37,492,871,681.75
  5. Step 5: Solve for x
    x = 37,492,871,681.75/223,520.38
  6. Step 6: Final answer
    x = 167,738.05

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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.