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Finding the Fourth Proportional to 242,547.41, 334,715.63 and 135,117.72

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Solution

The fourth proportional to 242,547.41, 334,715.63 and 135,117.72 is: 186,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,547.41 : 334,715.63 = 135,117.72 : x
  2. Step 2: Convert to fraction form
    242,547.41/334,715.63 = 135,117.72/x
  3. Step 3: Cross multiply
    242,547.41x = 334,715.63 × 135,117.72
  4. Step 4: Simplify right side
    242,547.41x = 45,226,012,098.38
  5. Step 5: Solve for x
    x = 45,226,012,098.38/242,547.41
  6. Step 6: Final answer
    x = 186,462.56

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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.