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Finding the Fourth Proportional to 180,510.42, 249,113.57 and 99,946.82

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Solution

The fourth proportional to 180,510.42, 249,113.57 and 99,946.82 is: 137,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,510.42 : 249,113.57 = 99,946.82 : x
  2. Step 2: Convert to fraction form
    180,510.42/249,113.57 = 99,946.82/x
  3. Step 3: Cross multiply
    180,510.42x = 249,113.57 × 99,946.82
  4. Step 4: Simplify right side
    180,510.42x = 24,898,107,395.05
  5. Step 5: Solve for x
    x = 24,898,107,395.05/180,510.42
  6. Step 6: Final answer
    x = 137,931.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.